Norbert Hungerbühler

Publications

Analysis

• Chen Yunmei, Min-Chun Hong, Norbert Hungerbühler
  Heat flow of p-harmonic maps with values into spheres
  Math. Z. 215 (1994), no. 1, 25-35
  doi.org/10.1007/BF02571698 | MR 1254812 | Zbl 0793.53049
• Norbert Hungerbühler
  Global weak solutions of the p-harmonic flow into homogeneous spaces
  Indiana Univ. Math. J. 45 (1996), no. 1, 275-288
  doi.org/10.1512/IUMJ.1996.45.1964 | MR 1406694 | Zbl 0857.35053 | JSTOR 24899157
• Norbert Hungerbühler
  Compactness properties of the p-harmonic flow into homogeneous spaces
  Nonlinear Anal. 28 (1997), no. 5, 793-798
  doi.org/10.1016/0362-546X(95)00196-3 | MR 1422184 | Zbl 0871.58027
• Norbert Hungerbühler
  Non-uniqueness for the p-harmonic flow
  Canad. Math. Bull. 40 (1997), no. 2, 174-182
  doi.org/10.4153/CMB-1997-021-9 | MR 1451271 | Zbl 0879.35071
• Georg Dolzmann, Norbert Hungerbühler, Stefan Müller
  The p-harmonic system with measure-valued right hand side
  Ann. Inst. H. Poincaré C Anal. Non Linéaire 14 (1997), no. 3, 353–364
  doi.org/10.1016/S0294-1449%2897%2980141-2 | MR 1450953 | Zbl 0879.35052
• Georg Dolzmann, Norbert Hungerbühler, Stefan Müller
  Non-linear elliptic systems with measure-valued right hand side
  Math. Z. 226 (1997), no. 4, 545-574
  doi.org/10.1007/PL00004354 | MR 1484710 | Zbl 0895.35029
• Norbert Hungerbühler
  A refinement of Ball's Theorem on Young measures
  New York J. Math. 3 (1997), 48-53
  Journal page | MR 1443136 | Zbl 0887.46010
• Norbert Hungerbühler
  m-harmonic flow
  Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), no. 4, 593-631
  NUMDAM | MR 1627342 | Zbl 0911.58011
• Georg Dolzmann, Norbert Hungerbühler, Stefan Müller
  Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with measure valued right hand side
  J. Reine Angew. Math. 520 (2000), 1-35
  doi.org/10.1515/crll.2000.022 | MR 1748270 | Zbl 0937.35065
• Norbert Hungerbühler, Knut Smoczyk
  Soliton solutions for the mean curvature flow
  Differential Integral Equations 13 (2000), no. 10-12, 1321-1345
  doi.org/10.57262/die/1356061128 | MR 1787070 | Zbl 0990.53068
• Norbert Hungerbühler
  Quasilinear elliptic systems in divergence form with weak monotonicity
  New York J. Math. 5 (1999), 83-90
  Journal page | MR 1701827 | Zbl 0920.35060
• Norbert Hungerbühler, Robert Zwahlen
  An algebraic method for eigenvalue problems
  Indian J. Math. 43 (2001), no. 2, 249-261
  Journal page | MR 1841687 | Zbl 1044.47014
• Norbert Hungerbühler
  Quasilinear parabolic systems in divergence form with weak monotonicity
  Duke Math. J. 107 (2001), no. 3, 497-520
  doi.org/10.1215/S0012-7094-01-10733-3 | MR 1828299 | Zbl 1012.35037
• Norbert Hungerbühler
  Heat flow into spheres for a class of energies
  In: Variational Problems in Riemannian Geometry.
  Progr. Nonlinear Differential Equations Appl. 59 (2004), 45-65
  doi.org/10.1007/978-3-0348-7968-2_4 | MR 2076266 | Zbl 1063.58010
• Pierre Dreyfuss, Norbert Hungerbühler
  Results on a Navier-Stokes system with applications to electrorheological fluid flow
  Int. J. Pure Appl. Math. 14 (2004), no. 2, 241-271
  Journal page | MR 2066690 | Zbl 1217.35135
• Pierre Dreyfuss, Norbert Hungerbühler
  Navier-Stokes systems with quasimonotone viscosity tensor
  Int. J. Differ. Equ. Appl. 9 (2004), no. 1, 59-79
  Journal page | MR 2108410 | Zbl 1096.35100
• Fabien Augsburger, Norbert Hungerbühler
  Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data
  Electron. J. Differential Equations 2004, No. 144, 18 pp
  Journal page | MR 2108915 | Zbl 1129.35414
• Norbert Hungerbühler, Beatrice Roost
  Mean curvature flow solitons
  In: Analytic aspects of problems in Riemannian geometry: elliptic PDEs, solitons and computer imaging.
  Sémin. Congr. 22 (2011), 129-158
  Journal page | MR 3060452 | Zbl 1280.53061
• Norbert Hungerbühler, Thomas Mettler
  Soliton solutions of the mean curvature flow and minimal hypersurfaces
  Proc. Amer. Math. Soc. 140 (2012), no. 6, 2117-2126
  doi.org/10.1090/S0002-9939-2011-11205-X | MR 2888198 | Zbl 1252.49066 | JSTOR 41505751
• Norbert Hungerbühler, Micha Wasem
  The One-Sided Isometric Extension Problem
  Results Math. 71 (2017), no. 3-4, 749-781
  doi.org/10.1007/s00025-016-0593-0 | MR 3648443 | Zbl 1380.53065
• Norbert Hungerbühler, Thomas Mettler, Micha Wasem
  Convex integration and Legendrian Approximation of Curves
  J. Convex Anal. 24 (2017), no. 1, 309-317
  Journal page | MR 3619673 | Zbl 1366.53059
• Norbert Hungerbühler, Micha Wasem
  An integral that counts the zeros of a function
  Open Math. 16 (2018), no. 1, 1621-1633
  doi.org/10.1515/math-2018-0131 | MR 3909796 | Zbl 1419.30004
• Norbert Hungerbühler, Micha Wasem
  Non-Integer Valued Winding Numbers and a Generalized Residue Theorem
  J. Math. 2019, Art. ID 6130464, 9 pp
  doi.org/10.1155/2019/6130464 | MR 3927973 | Zbl 1450.30059
• Norbert Hungerbühler, Micha Wasem
  Poncelet Curves
  ZAMM Z. Angew. Math. Mech., to appear
  doi.org/10.1002/zamm.70225 | MR 3927973 | Zbl 1450.30059

Topology 

• Lorenz Halbeisen, Norbert Hungerbühler
  On continuously Urysohn and strongly separating spaces
  Topology Appl. 118 (2002), no. 3, 329-335
  doi.org/10.1016/S0166-8641(01)00127-4 | MR 1874554 | Zbl 0986.54048

Number theory 

• Norbert Hungerbühler
  Proof of a conjecture of Lewis Carroll
  Math. Mag. 69 (1996), no. 3, 182-184
  doi.org/10.1080/0025570X.1996.11996423 | MR 1394797 | Zbl 0856.11015 | JSTOR 2691464
• Lorenz Halbeisen, Norbert Hungerbühler
  Optimal bounds for the length of rational Collatz cycles
  Acta Arith. 78 (1997), no. 3, 227-239
  doi.org/10.4064/AA-78-3-227-239 | MR 1432018 | Zbl 0863.11015
• Lorenz Halbeisen, Norbert Hungerbühler
  The Josephus problem
  J. Théor. Nombres Bordeaux 9 (1997), no. 2, 303-318
  doi.org/10.5802/JTNB.204 | MR 1617400 | Zbl 0905.05002 | JSTOR 43972514
• Norbert Hungerbühler
  O trójkątach pitagorejskich o równych polach (On Pythagorean triangles with equal areas)
  Delta 284 (1998), no. 1, 1-3
  Journal page
• Lorenz Halbeisen, Norbert Hungerbühler
  On generalized Carmichael numbers
  Hardy-Ramanujan J. 22 (1999), 8-22
  doi.org/10.46298/hrj.1999.138 | MR 1748376 | Zbl 1002.11006
• Lorenz Halbeisen, Norbert Hungerbühler
  An application of Van der Waerden's theorem in additive number theory
  Integers 0 (2000), A7, 5 pp
  10.5281/zenodo.7554231 | MR 1766919 | Zbl 0962.11017
• Lorenz Halbeisen, Norbert Hungerbühler
  Number theoretic aspects of a combinatorial function
  Notes Number Theory Discrete Math. 5 (1999), no. 4, 138-150
  Journal page | MR 1764301
• Norbert Hungerbühler, Jürg Kramer, Yngvar Reichelt
  The Abel Prize - the new coronation of mathematical careers
  Elem. Math. 58 (2003), no. 2, 45-48
  doi.org/10.1007/s000170300007 | MR 1980320 | Zbl 1053.01016
• Lorenz Halbeisen, Norbert Hungerbühler
  A Theorem of Fermat on Congruent Number Curves
  Hardy-Ramanujan J. 41 (2018), 15-21
  doi.org/10.46298/hrj.2019.5101 | MR 3935492 | Zbl 1440.11094
• Lorenz Halbeisen, Norbert Hungerbühler
  A geometric representation of integral solutions of x²+xy+y²=m²
  Quaest. Math. 43 (2020), 425-439
  doi.org/10.2989/16073606.2019.1578294 | MR 4882060 | Zbl 1481.11028
• Lorenz Halbeisen, Norbert Hungerbühler
  An elementary approach to Hessian curves with torsion group Z/6Z
  Int. Electron. J. Pure Appl. Math. 13 (2019), no. 1, 1-30
  doi.org/10.12732/iejpam.v13i1.1 | MR 3901191
• Lorenz Halbeisen, Norbert Hungerbühler
  Congruent number elliptic curves related to integral solutions of m² = n² + nl + l²
  J. Integer Seq. 22 (2019), no. 3, Art. 19.3.1
  Journal page | MR 4040908 | Zbl 1470.11152
• Lorenz Halbeisen, Norbert Hungerbühler
  Heron Triangles and their Elliptic Curves
  J. Number Theory 213 (2020), 232-253
  doi.org/10.1016/j.jnt.2019.12.005 | MR 4091940 | Zbl 1450.11053
• Lorenz Halbeisen, Norbert Hungerbühler
  Pairing Pythagorean Pairs
  J. Number Theory 233 (2022), 467-480
  doi.org/10.1016/j.jnt.2021.07.002 | MR 4356861 | Zbl 1484.11104
• Chris Busenhart, Lorenz Halbeisen, Norbert Hungerbühler, Oliver Riesen
  On Primitive Solutions of the Diophantine Equation x² + y² = M
  Open Math. 19 (2021), no. 1, 863-868
  doi.org/10.1515/math-2021-0087 | MR 4304574 | Zbl 1501.11048
• Lorenz Halbeisen, Norbert Hungerbühler, Arman Shamsi Zargar
  A Family of Congruent Number Elliptic Curves of Rank Three
  Quaest. Math. 46 (2023), no. 6, 1131-1137
  doi.org/10.2989/16073606.2022.2058435 | MR 4599992 | Zbl 1545.11053
• Lorenz Halbeisen, Norbert Hungerbühler, Arman Shamsi Zargar, Maksym Voznyy
  A geometric approach to elliptic curves with torsion groups Z/10Z, Z/12Z, Z/14Z, and Z/16Z
  Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 27(555) (2023), 87-109
  doi.org/10.21857/ydkx2coje9 | MR 4633907 | Zbl 1524.11118
• Sayan Dutta, Lorenz Halbeisen, Norbert Hungerbühler
  Geometric Properties and Iterates of Hesse Derivatives of Cubic Curves
  Rocky Mountain J. Math., to appear
  | MR | Zbl | JSTOR
• Lorenz Halbeisen, Norbert Hungerbühler, Arman Shamsi Zargar
  Pairing Powers of pythagorean Pairs
  Indag. Math. (N.S.) 36 (2025), no. 3, 903–911
  doi.org/10.1016/j.indag.2024.09.011 | MR 4897586 | Zbl | JSTOR
• Norbert Hungerbühler, Maciej Smela
  Geometric approach to the Diophantine equation x² + xy - y² = m
  Hardy-Ramanujan J. 47 (2024), 44-64
  doi.org/10.46298/hrj.2025.14960 | MR 4900839 | Zbl | JSTOR

Geometry 

• Norbert Hungerbühler
  Geometrical aspects of the circular billiard problem
  Elem. Math. 47 (1992), no. 3, 114-117
  doi.org/10.5169/seals-43917 | MR 1179517 | Zbl 0800.70052
• Norbert Hungerbühler
  A short elementary proof of the Mohr-Mascheroni theorem
  Amer. Math. Monthly 101 (1994), no. 8, 784-787
  doi.org/10.1080/00029890.1994.11997027 | MR 1299166 | Zbl 0831.51015 | JSTOR 2974536
• Lorenz Halbeisen, Norbert Hungerbühler
  On periodic billiard trajectories in obtuse triangles
  SIAM Rev. 42 (2000), no. 4, 657-670
  doi.org/10.1137/S0036144599355725 | MR 1814050 | Zbl 0970.37028 | JSTOR 2653137
• Norbert Hungerbühler, Michael Nüsken
  Delian metamorphoses
  Elem. Math. 61 (2006), no. 1, 1-19
  doi.org/10.4171/em/26 | MR 2209143 | Zbl 1139.52300
• Lorenz Halbeisen, Norbert Hungerbühler
  A Simple Proof of Poncelet's Theorem (on the occasion of its bicentennial)
  Amer. Math. Monthly 122 (2015), no. 6, 537-551
  doi.org/10.4169/amer.math.monthly.122.6.537 | MR 3361732 | Zbl 1341.51017 | JSTOR 122.6.537
• Lorenz Halbeisen, Norbert Hungerbühler
  Conjugate conics and closed chains of Poncelet polygons
  Mitt. Math. Ges. Hamburg 36 (2016), 5-28
  Jounral page | MR 3643367 | Zbl 1365.51015
• Lorenz Halbeisen, Norbert Hungerbühler
  Closed chains of conics carrying Poncelet triangles
  Beitr. Algebra Geom. 58 (2017), no. 2, 277-302
  doi.org/10.1007/s13366-016-0327-1 | MR 3651653 | Zbl 1380.51003
• Lorenz Halbeisen, Norbert Hungerbühler
  The exponential pencil of conics
  Beitr. Algebra Geom. 59 (2018), no. 3, 549-571
  doi.org/10.1007/s13366-017-0375-1 | MR 3844643 | Zbl 1398.51001
• Norbert Hungerbühler, Clemens Pohle
  Communicating harmonic pencils of lines
  Int. J. Geom. 9 (2020), no. 2, 15-38
  Journal page | MR 4159914 | Zbl 1513.51002
• Lorenz Halbeisen, Norbert Hungerbühler
  Constructing Cubic Curves with Involutions
  Beitr. Algebra Geom. 63 (2022), no. 4, 921-940
  doi.org/10.1007/s13366-021-00593-0 | MR 4502307 | Zbl 1502.14079
• Lorenz Halbeisen, Norbert Hungerbühler, Marco Schiltknecht
  Reversion Porisms in Conics
  Int. Electron. J. Geom. 14 (2021), no. 2, 371-382
  doi.org/10.36890/iejg.979088 | MR 4334393 | Zbl 1498.51014
• Norbert Hungerbühler
  Pappus Porisms on a Set of Lines
  Glob. J. Adv. Res. Class. Mod. Geom. 11 (2022), no. 1, 30-44
  Journal page | MR 4408217
• Norbert Hungerbühler, Gerhard Wanner
  Ceva-triangular points of a triangle
  Elem. Math. 77 (2022), no. 4, 180-186
  doi.org/10.4171/em/466 | MR 4502606 | Zbl 1503.51010
• Andrin Halbeisen, Lorenz Halbeisen, Norbert Hungerbühler
  Configurations on elliptic curves
  Innov. Incidence Geom. 19 (2022), no. 3, 111-135
  doi.org/10.2140/iig.2022.19.111 | MR 4516201 | Zbl 1519.14031
• Lorenz Halbeisen, Norbert Hungerbühler, Juan Läuchli
  Quadrilaterals as Geometric Loci
  Int. Electron. J. Geom. 15 (2022), no. 2, 321-333
  doi.org/10.36890/iejg.1062741 | MR 4504054 | Zbl 1506.51008
• Lorenz Halbeisen, Norbert Hungerbühler, Vanessa Loureiro
  The hidden twin of Morley's Five Circles Theorem
  Amer. Math. Monthly 130 (2023), no. 10, 879-892
  doi.org/10.1080/00029890.2023.2254179 | MR 4669230 | Zbl 1528.51001
• Lorenz Halbeisen, Norbert Hungerbühler, Vanessa Loureiro
  The Pentagon Theorem in Miquelian Möbius planes
  Int. Electron. J. Geom. 16 (2023), no. 2, 689-696
  doi.org/10.36890/iejg.1255469 | MR 4664260 | Zbl 1541.51007
• Norbert Hungerbühler
  The Lively Siblings of the Pentagon Theorem
  J. Geom. 114 (2023), no. 2, Paper No. 20
  doi.org/10.1007/s00022-023-00683-5 | MR 4619581 | Zbl 1519.51001
• Lorenz Halbeisen, Norbert Hungerbühler, Vera Stalder
  Three Conics determine a Cubic
  Matematica 3 (2024), no. 2, 561-572
  doi.org/10.1007/s44007-024-00094-1 | MR 4765109 | Zbl 1542.51001
• Norbert Hungerbühler
  The Steinbart Theorem, polar triangles and the reversion map
  Glob. J. Adv. Res. Class. Mod. Geom. 13 (2024), no. 1, 34-44
  Journal page | MR 4736429
• Marco Bramato, Lorenz Halbeisen, Norbert Hungerbühler
  More configurations on elliptic curves
  Innov. Incidence Geom. 21 (2024), no. 1, 45-56
  doi.org/10.2140/iig.2024.21.45 | MR 4752715 | Zbl 1546.51001
• Lorenz Halbeisen, Norbert Hungerbühler
  Twins of Conic Hexagons
  J. Geom. 115 (2024), no. 3, Paper No. 36
  doi.org/10.1007/s00022-024-00731-8 | MR 4804251 | Zbl 1550.51010
• Marco Bramato, Norbert Hungerbühler
  Closing theorems for perspectivities in space
  Glob. J. Adv. Res. Class. Mod. Geom. 13 (2024), no. 2, 177-190
  Journal page | MR 4804306
• Norbert Hungerbühler, Juan Läuchli
  Construction of a quadrilateral from its vertex angles and the diagonal angle
  Elem. Math. 79 (2024), no. 4, 159-166
  doi.org/10.4171/em/517 | MR 4817558 | Zbl 7961611
• Norbert Hungerbühler, Clemens Pohle
  A selfdual generalization of the Theorems of Pascal and Brianchon
  Creat. Math. Inform. 34, No. 2, 213-220 (2025)
  doi.org/10.37193/CMI.2025.02.04 | MR | Zbl | JSTOR
• Lorenz Halbeisen, Norbert Hungerbühler, Juan Lächli
  Construction of a quadrilateral from its sides and the diagonal angle
  Elem. Math., to appear
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  When Varignon meets Napoleon
  J. Geom. 116 (2025), no. 2, Paper No. 8
  doi.org/10.1007/s00022-025-00746-9 | MR 4889349 | Zbl
• Norbert Hungerbühler
  Closing Theorems for Circle Chains
  Int. Electron. J. Geom. 18 (2025), no. 2, 259-276
  doi.org/10.36890/iejg.1624214 | MR | Zbl
• Norbert Hungerbühler, Yun Zhang
  Brocard Families
  Math. Semesterber. 72 (2025), no. 2, 79–87
  doi.org/10.1007/s00591-025-00395-8 | MR 4964441 | Zbl
• Norbert Hungerbühler, Marcel Pirron
  Variations on Pascal’s Hexagon Theorem
  Creat. Math. Inform. 34, No. 3, 341-352 (2025)
  doi.org/10.37193/CMI.2025.03.02 | MR | Zbl

Norbert Hungerbühler, Clemens Pohle, Yun Zhang
The excenters of bicentric polygons are concyclic
Acta Math. Sci. Ser. B (Engl. Ed.), to appear
| MR | Zbl

Numerical mathematics 

• Norbert Hungerbühler
  Numerical analysis of singular weighted integrals
  Computing 53 (1994), no. 2, 195-203
  doi.org/10.1007/BF02252989 | MR 1300777 | Zbl 0813.65058
• Norbert Hungerbühler, Rui Wu
  An algorithm that localizes and counts the zeros of a C²-function
  Numer. Math. Theory Methods Appl. 13 (2020), no. 2, 320-333
  doi.org/10.4208/nmtma.OA-2019-0077 | MR 4077566 | Zbl 1463.30020

Applied mathematics 

• Norbert Hungerbühler
  Singular filters for the Radon backprojection
  J. Appl. Anal. 5 (1999), no. 1, 17-33
  doi.org/10.1515/JAA.1999.17 | MR 1690054 | Zbl 0932.65135
• Norbert Hungerbühler, Paolo Vanini
  Taxation Based on Social Norms: An Axiomatic Approach
  SSRN Electronic Paper Collection (2002)
  dx.doi.org/10.2139/ssrn.326900 | Journal page
• Norbert Hungerbühler, Michael Struwe
  A one-way function from thermodynamics and applications to cryptography
  Elem. Math. 58 (2003), no. 2, 49-64
  doi.org/10.1007/s000170300008 | MR 1980321 | Zbl 1068.94015
• Norbert Hungerbühler
  Benfords Gesetz über führende Ziffern: Wie die Mathematik Steuersündern das Fürchten lehrt
  EducETH, March 2007
  Journal page
• Jonas Allemann, Norbert Hungerbühler, Micha Wasem
  Equilibria of plane convex bodies
  J. Nonlinear Sci. 31 (2021), no. 5, Paper No. 86
  doi.org/10.1007/s00332-021-09740-2 | MR 4307715 | Zbl 1479.52004

Discrete mathematics 

• Lorenz Halbeisen, Norbert Hungerbühler
  The general counterfeit coin problem
  Discrete Math. 147 (1995), no. 1-3, 139-150
  doi.org/10.1016/0012-365X(94)00232-8 | MR 1364510 | Zbl 0838.05004
• Norbert Hungerbühler
  The isomorphism problem for Catalan families
  J. Combin. Inform. System Sci. 20 (1995), no. 1-4, 129-139
  MR 1735041 | Zbl 0872.05002
• Lorenz Halbeisen, Norbert Hungerbühler
  Dual form of combinatorial problems and Laplace techniques
  Fibonacci Quart. 38 (2000), no. 5, 395-407
  doi.org/10.1080/00150517.2000.12428765 | MR 1796555 | Zbl 0970.05005
• Norbert Hungerbühler
  Problems and Solutions: Solutions: Leaves of Ordered Trees: 10753
  A simple proof of Shapiro's Theorem
  Amer. Math. Monthly 108 (2001), no. 9, 873-874
  doi.org/10.2307/2695569 | MR 1543952 | JSTOR 2695569
• Norbert Hungerbühler, Katharina Kusejko
  Poncelet's Theorem in the four nonisomorphic finite projective planes of order 9
  Ars Combin. 140 (2018), 21-44
  MR 3821988 | Zbl 1513.51005
• Norbert Hungerbühler, Katharina Kusejko
  A Poncelet Criterion for special pairs of conics in PG(2,p^m)
  Int. Electron. J. Geom. 13 (2020), no. 1, 21-40
  doi.org/10.36890/iejg.590595 | MR 4085438 | Zbl 1456.51005
• Norbert Hungerbühler, Katharina Kusejko
  Steiner's Porism in finite Miquelian Möbius planes
  Adv. Geom. 18 (2018), no. 1, 55-68
  doi.org/10.1515/advgeom-2017-0027/a> | MR 3750254 | Zbl 1383.05039
• Norbert Hungerbühler, Gideon Villiger
  Exotic Steiner chains in Miquelian Möbius planes of odd order
  Adv. Geom. 21 (2021), no. 2, 207-220
  doi.org/10.1515/advgeom-2020-0035 | MR 4243958 | Zbl 1519.05038
• Chris Busenhart, Norbert Hungerbühler, William Xu
  A Variant of the Round-Robin Scheduling Problem
  Ars Combin. 158 (2024), 81-92
  doi.org/10.61091/ars158-09 | MR 4726301 | Zbl 1549.90119

Graph theory 

• Lorenz Halbeisen, Norbert Hungerbühler
  Packings in complete graphs
  Ars Combin. 48 (1998), 97-110
  Journal page | MR 326871 | Zbl 0962.05044
• Lorenz Halbeisen, Norbert Hungerbühler
  Generation of isospectral graphs
  J. Graph Theory 31 (1999), no. 3, 255-265
  doi.org/10.1002/(SICI)1097-0118(199907)31:3%3C255::AID-JGT7%3E3.0.CO;2-6 | MR 1688950 | Zbl 0932.05053
• Lorenz Halbeisen, Norbert Hungerbühler
  Reconstruction of weighted graphs by their spectrum
  European J. Combin. 21 (2000), no. 5, 641-650
  doi.org/10.1006/eujc.1999.0410 | MR 1771986 | Zbl 0964.05046
• Marina Furrer, Norbert Hungerbühler, Simon Jantschgi
  Resistors in dual networks
  Electron. J. Graph Theory Appl. (EJGTA) 8 (2020), no. 2, 255-263
  dx.doi.org/10.5614/ejgta.2020.8.2.6 | MR 4174832 | Zbl 1468.05032

Algebra 

• Lorenz Halbeisen, Norbert Hungerbühler, Hans Läuchli
  Powers and polynomials in Z_m
  Elem. Math. 54 (1999), no. 3, 118-129
  doi.org/10.1007/s000170050003 | MR 1713222 | Zbl 1007.11002
• Norbert Hungerbühler, Ernst Specker
  A generalization of the Smarandache function to several variables
  Integers 6 (2006), A23, 11 pp
  doi.org/10.5281/zenodo.8275385 | MR 2264838 | Zbl 1114.11003
• Lorenz Halbeisen, Norbert Hungerbühler
  Generalized pencils of conics derived from cubics
  Beitr. Algebra Geom. 61 (2020), no. 4, 681-693
  doi.org/10.1007/s13366-020-00499-3 | MR 4160817 | Zbl 1448.51002
• Ernst Specker, Norbert Hungerbühler, Micha Wasem
  The Ring of Polyfunctions over Z/nZ
  Comm. Algebra 51 (2023), no. 1, 116-134
  doi.org/10.1080/00927872.2022.2092628 | MR 4525284 | Zbl 1502.13061
• Ernst Specker, Norbert Hungerbühler, Micha Wasem
  Polyfunctions over Commutative Rings
  J. Algebra Appl. 23 (2024), no. 1, Paper No. 2450014, 10 pp
  doi.org/10.1142/S0219498824500142 | MR 4688780 | Zbl 1540.13059
• Lorenz Halbeisen, Norbert Hungerbühler
  A worked out Galois group for the classroom
  Amer. Math. Monthly 131 (2024), no. 6, 501-510
  doi.org/10.1080/00029890.2024.2325330 | MR 4750611 | Zbl 1540.11157

Set theory 

• Joan Bagaria, Lorenz Halbeisen, Norbert Hungerbühler
  Remarks on bases of Banach spaces
  CRM Preprint núm. 388, Juliol 1998
  Journal page
• Lorenz Halbeisen, Norbert Hungerbühler
  The cardinality of Hamel bases of Banach spaces
  East-West J. Math. 2 (2000), no. 2, 153-159
  Journal page | MR 1825451 | Zbl 0982.46010
• Lorenz Halbeisen, Norbert Hungerbühler, Nir Lazarovich, Waltraud Lederle, Marc Lischka, Salome Schumacher
  Forms of choice in ring theory
  Results Math. 74 (2019), no. 1, Paper No. 14, 33 pp.
  doi.org/10.1007/s00025-018-0935-1 | MR 3884751 | Zbl 1506.03105
• Lorenz Halbeisen, Norbert Hungerbühler, Salome Schumacher
  Sets and Multisets of Range Uniqueness for Polynomials
  Linear Algebra Appl. 589 (2020), 39-61
  doi.org/10.1016/j.laa.2019.12.015 | MR 4044757 | Zbl 1479.26014
• Lorenz Halbeisen, Norbert Hungerbühler, Salome Schumacher
  Magic sets for polynomials of degree n
  Linear Algebra Appl. 609 (2021), 413-441
  doi.org/10.1016/j.laa.2020.09.026 | MR 4157706 | Zbl 1461.26007
• Lorenz Halbeisen, Norbert Hungerbühler, Salome Schumacher, Gua Xian Yau
  Sets of range uniqueness for multivariate polynomials and linear functions with rank k
  Linear Multilinear Algebra 70 (2022), no. 20, 5642-5660
  doi.org/10.1080/03081087.2021.1922338 | MR 4525240 | Zbl 1511.26016
• Lorenz Halbeisen, Norbert Hungerbühler
  Solving the quartic by conics
  Open Math. 23 (2025), no. 1, Paper No. 20250132
  doi.org/10.1515/math-2025-0132 | MR 4895806 | Zbl

Game theory 

• Abraham Berman, Franziska Borer, Norbert Hungerbühler
  Lights out on graphs
  Math. Semesterber. 68 (2021), no. 2, 237-255
  doi.org/10.1007/s00591-021-00297-5 | MR 4338532 | Zbl 1502.05162

Mathematical physics 

• Jonathan Hungerbühler, Norbert Hungerbühler
  A mathematical model for levitation in a magnetic stirrer
  Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 83 (2021), no. 1, 279-290
  Journal page | MR 4325533 | Zbl 1513.78005

Mathematical biosciences 

• Syed Abbas, Malay Banerjee, Norbert Hungerbühler
  Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model
  J. Math. Anal. Appl. 367 (2010), no. 1, 249-259
  doi.org/10.1016/j.jmaa.2010.01.024 | MR 2600394 | Zbl 1185.92087
• Norbert Hungerbühler
  Optimal control in pharmacokinetic drug administration
  Math. Biosci. Eng. 19 (2022), no. 5, 5312-5328
  doi.org/10.3934/mbe.2022249 | MR 4406180 | Zbl 1501.92046

Mathematics and Arts 

• Nina Hungerbühler, Norbert Hungerbühler, Marcel Pirron
  New families of monohedral polyhedra
  J. Math. Arts, 19(1–2) (2025), 1-23
  doi.org/10.1080/17513472.2025.2492807 | MR | Zbl

Elementary mathematics 

• Norbert Hungerbühler
  Die zehn Apollonischen Probleme
  Didakt. Math. 21 (1993), no. 4, 241-249
• Norbert Hungerbühler
  Von Prüfungen und rauchenden Rotstiften
  ETHZ VAMP Nr. 1 des Wintersemesters 93/94, 12-13 (1993)
  Journal page
• Norbert Hungerbühler
  Sections of pyramids, perspectivities and conics
  Int. J. Math. Educ. Sci. Technol. 27 (1996), No. 3, 335-345
  doi.org/10.1080/0020739960270303 | Zbl 0885.51001
• Norbert Hungerbühler
  Another design for sundials
  Int. J. Math. Educ. Sci. Technol. 27 (1996), No. 4, 483-492
  doi.org/10.1080/0020739960270402
• Norbert Hungerbühler
  Proof without Words: Bijection Between Certain Lattice Paths
  Math. Mag. 71 (1998), no. 3, 219
  doi.org/10.1080/0025570X.1998.11996637 | MR 1573324 | JSTOR 2691210
• Norbert Hungerbühler
  Proof without Words: The Triangle of Medians Has Three-Fourths the Area of the Original Triangle
  Math. Mag. 72 (1999), no. 2, 142
  reprinted in: Proofs Without Words II, Roger B. Nelson, MAA, 2000, p. 16
  doi.org/10.1080/0025570X.1999.11996717 | MR 1573384 | JSTOR 2691210
• Norbert Hungerbühler
  Solution of Problem 1135
  Elem. Math. 54, Number 3, 131-132 (1999)
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  Computer-Tomographie
  Collata opera math. fribg. 1/1, 1-14 (2001)
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  Das Dreieck aus Seitenhalbierenden. Problem Nr. 56 in "Der Wettlauf mit der Schildkröte" von Heinrich Hemme
  Vandenhoeck & Ruprecht, Göttingen (2002)
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  Die beste aller Welten
  Collata opera math. fribg. 1/3, 1-32 (2001)
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  Die beste aller Welten
  Bull. Soc. Frib. Sc. Nat. 90, 23-44 (2001)
• Norbert Hungerbühler
  Origami - von der Kunst und der Wissenschaft des Papierfaltens
  Schriftenreihe zur Didaktik der Mathematik der Österreichischen Mathematischen Gesellschaft, Heft 46, 19-32 (2013)
• Norbert Hungerbühler
  The inverse caustic problem
  Amer. Math. Monthly 127 (2020), no. 5, 387-400
  doi.org/10.1080/00029890.2020.1722019 | MR 4095682 | Zbl 1439.53002 | JSTOR 48662231
• Norbert Hungerbühler
  An alternative quadratic formula
  Math. Semesterber. 67 (2020), no. 1, 85-95
  doi.org/10.1007/s00591-019-00262-3 | MR 4067206 | Zbl 1452.12003
• Lorenz Halbeisen, Norbert Hungerbühler
  Building Loops with classical Lego Train Tracks
  Math. Mag. 98 (2025), no. 3, 175-184
  doi.org/10.1080/0025570X.2025.2488707 | MR | Zbl | JSTOR
• Florian Fisch, Nina Hungerbüler, Norbert Hungerbühler, Marcel Pirron
  Mathe in Rubin
  Horizonte 138, 4-5 (2023)
  | MR | Zbl | JSTOR

History of mathematics 

• Norbert Hungerbühler, Martine Schmutz
  A biography of Michel Plancherel
  The MacTutor History of Mathematics archive.
  | MR | Zbl | JSTOR
• Norbert Hungerbühler
  In die "Hall of Fame" aufgenommen, Ehrung eines Freiburger Mathematikers
  Freiburger Nachrichten, April 4, 2005, page 2
• Norbert Hungerbühler
  Un Fribourgeois dans l'Olymp des maths
  La Liberté, 13 avril, 2005, page 11
• Norbert Hungerbühler
  Kurzportrait der Schweizerischen Mathematischen Gesellschaft SMG
  In: Leonhard Euler - Wissen schaffen, nutzen, weitergeben - Production, utilisation et transmission du savoir
  187. Jahreskongress SCNAT 2007, 23-24
• Norbert Hungerbühler, Martine Schmutz
  Michel Plancherel, une vie pour les mathématiques et pour le prochain
  In: math.ch/100, Schweizerische Mathematische Gesellschaft, Société Mathématique Suisse, Swiss Mathematical Society, 1910-2010
  EMS Press 2010, 317-342
  doi.org/10.4171/089-1/13
• Erwin Engeler, Norbert Hungerbühler, Johann A. Makowsky (eds, and co-authored)
  Remembering Ernst Specker (1920-2011)
  Elem. Math. 67 (2012), no. 3, 89–115.
  doi.org/10.4171/em/199 | MR 2958320 | Zbl 1257.01019
• Norbert Hungerbühler
  Swiss Mathematical Society
  Newsletter of the London Mathematical Society, No. 468 April 2017, 28-29
  Journal page

Didactics 

• Norbert Hungerbühler
  Eine oft verkannte Schlüsselwissenschaft mit Zukunft
  Unireflets, 16. Oktober 2003, No. 1, 4-5
• Norbert Hungerbühler
  Einstein und die Mathematik
  Unireflets, 27. Oktober 2005, No. 1, 7
• Norbert Hungerbühler
  Quo vadis, mathematica?
  Web-Portal der Gesellschaft für Mathematik an Schweizer Fachhochschulen, 2006
• Norbert Hungerbühler
  The EMS Publishing House - A crown jewel of the Society
  Eur. Math. Soc. Newsl. 64 (2007), 10-11
• Norbert Hungerbühler
  Rezension: E.Specker Wie ein Dieb in der Nacht
  Elem. Math. 63 (2008), no. 2, 196
  doi.org/10.4171/em/108
• Meike Akveld, Norbert Hungerbühler, Hansruedi Schneebeli
  Über Fachgrenzen zusammenarbeiten
  Gymnasium Helveticum, 2010/6, 40
• Norbert Hungerbühler
  Bericht zur Maturaarbeit Billard - Reflexionen
  VSMP Bulletin, Februar 2010, No 112, 7-8
• Norbert Hungerbühler
  Endet jede Schachpartie?
  ETH Alumni Math • Phys Blog, 2012
• Susanne Wildhirt, Mario Gerwig, Norbert Hungerbühler, Elsbeth Stern
  Lehrstückunterricht bringt frischen Wind - auch für die Lehrer
  MU Der Mathematikunterricht, Jahrgang 59, Heft 6, Oktober 2013
• Enrico Del Re, Norbert Hungerbühler
  Interview mit dem VAMP
  ETHZ VAMP, Herbst 2014, 9-15
• Hans Christoph Berg, Norbert Hungerbühler
  Euklid durch Wagenschein durch Gerwig: Drei Beweisgipfel erklettern im Lehrstückunterricht
  in: Beweisen verstehen im Mathematikunterricht, Mario Gerwig, Springer Spektrum 2015
• Norbert Hungerbühler
  Nachwort: Ein Paradigma für die lehrkunst- und mathematikdidaktische Erarbeitung unterrichtstauglicher und bildungsförderlicher didaktischer Werke
  in: Beweisen verstehen im Mathematikunterricht, Mario Gerwig, Springer Spektrum 2015
• Norbert Hungerbühler
  Skalierbare Themen im Mathematikunterricht
  In: Beiträge zum Mathematikunterricht 2015, Band 1, Münster, WTM-Verlag, p. 26-33
• Mario Gerwig, Norbert Hungerbühler
  Über das Inszenieren skalierbarer Themen im Mathematikunterricht
  In: Das Schulwesen soll und will auch ein Bildungswesen sein - Lehrkunstdidaktik im Dialog. Festschrift für Hans Christoph Berg. Schneider Verlag Hohengehren 2016, p. 175-186
• Norbert Hungerbühler
  Fachdidaktischer Kommentar
  In: Beweisvielfalt erleben - Ein Mathematik-Lehrstück zum Satz des Pythagoras, Mario Gerwig, Gesellschaft für Lehrkunstdidaktik e.V. 2019, p. 44-47
• Norbert Hungerbühler
  Vom Fragen und vom Staunen in der Mathematik
  In: Bedarfsgerechte fachmathematische Lehramtsausbildung. Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, 3-29. Springer Spektrum, Wiesbaden, 2022
  doi.org/10.1007/978-3-658-34067-4_1

Educational Sciences 

• Norbert Hungerbühler, Thomas Schwaller
  Nachteilsausgleich aus Sicht der Schweizerischen Maturitätskommission und in der Praxis der Hochschulen
  Schweizerische Zeitschrift für Heilpädagogik, 21/3, 47-52 (2015)
• Norbert Hungerbühler, Thomas Schwaller
  La compensation des désavantages - point de vue de la Commission suisse de maturité et pratique des hautes écoles
  In: Élèves avec des besoins spécifiques, SZH CSPS Edition 2016, p. 41-49
• Vera Baumgartner, Simona Daguati, Dragan Trninic, Meike Akveld, Alexander Caspar, Norbert Hungerbüler, Manu Kapur
  Problem-solving before Instruction for Learning Linear Algebra in University Mathematics
  Instr. Sci. (2025)
  doi.org/10.1007/s11251-025-09709-8

Education policy 

• Norbert Hungerbühler
  Was ist Bildung Heute? Mathematik ist die Kunst, das Rechnen zu vermeiden
  NZZ, 2. November 2005, Sonderbeilage Studium und Beruf B1
• Norbert Hungerbühler
  Hochschulen und Gymnasien machen sich gemeinsam Gedanken über die Zukunft des Gymnasiums
  VSH-Bulletin Nr. 1, April 2010, 73-74
• Norbert Hungerbühler, David Wintgens
  Übergang Gymnasium-Universität I: Schlussbericht
  Gymnasium Helveticum, 2011/2, 20 - 28
• Norbert Hungerbühler, David Wintgens
  Transition Gymnase-Université I: rapport final
  Gymnasium Helveticum, 2011/3, 29 - 37
• David Wintgens, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium - Universität (KGU) in Kürze
  Gymnasium Helveticum, 2012/1, 26-27
• Norbert Hungerbühler, David Wintgens
  Améliorer la transition du gymnase à l'université/EPF
  Gymnasium Helveticum 2012/4, 24
• Norbert Hungerbühler, David Wintgens
  Verbesserung des Übergangs vom Gymnasium an die Universität
  Gymnasium Helveticum 2012/4, 25
• David Wintgens, Norbert Hungerbühler
  Rapport annuel de la Commision Gymnase - Université (CGU) 2011-2012
  Gymnasium Helveticum, 2013/1, 26-28
• David Wintgens, Norbert Hungerbühler
  Zweite Konferenz zum Übergang Gymnasium–Universität – Schlussbericht
  math.ch, 2013
• Norbert Hungerbühler, David Wintgens
  Rapport annuel de la Commission Gymnase - Université (KGU) 2013-2014
  Gymnasium Helveticum, 2015/1, 29-30
• Lucius Hartmann, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium - Universität (KGU) 2014-2015
  Gymnasium Helveticum, 2016/1, 20-21
• Lucius Hartmann, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium - Universität (KGU) 2016
  Gymnasium Helveticum, 2017/1, 20
• Lucius Hartmann, Norbert Hungerbühler
  Rapport annuel de la Commission Gymnase-Université (CGU) 2016
  Gymnasium Helveticum, 2017/1, 21
• Lucius Hartmann, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium - Universität (KGU) 2016/2017
  Gymnasium Helveticum, 2018/1, 17
• Lucius Hartmann, Norbert Hungerbühler
  Rapport annuel de la Commission Gymnase-Université (CGU) 2016/2017
  Gymnasium Helveticum, 2018/1, 18
• Lucius Hartmann, Norbert Hungerbühler
  Dritte Konferenz zum Übergang Gymnasium–Universität – Schlussbericht
  Gymnasium Helveticum, 2018/1, 21d - 24d
• Lucius Hartmann, Norbert Hungerbühler
  Troisième conférence sur la transition gymnase–université – rapport final
  Gymnasium Helveticum, 2018/1, 21f - 24f
• Lucius Hartmann, Norbert Hungerbühler
  Kommission Gymnasium-Universität (KGU) Jahresbericht 2018
  Gymnasium Helveticum, 2019/1, 24d-25d
• Lucius Hartmann, Norbert Hungerbühler
  Commission Gymnase-Université (CGU) Rapport annuel 2018
  Gymnasium Helveticum, 2019/1, 24f-25f
• Lucius Hartmann, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium - Universität (KGU) 2018/2019
  Gymnasium Helveticum, 2020/1, 27d
• Lucius Hartmann, Norbert Hungerbühler
  Rapport annuel de la Commission Gymnase–Université (CGU) 2018/2019
  Gymnasium Helveticum, 2020/1, 27f
• Lucius Hartmann, Norbert Hungerbühler
  Kommission Gymnasium-Universität (KGU) Jahresbericht 2020
  Gymnasium Helveticum, 2021/1, 27d
• Lucius Hartmann, Norbert Hungerbühler
  Commission Gymnase–Université (CGU) - Rapport annuel 2020
  Gymnasium Helveticum, 2021/1, 27f
• Lucius Hartmann, Norbert Hungerbühler
  Konferenz Übergang Gymnasium - Universität IV (KUGU IV): Schnittstelle - Nahtstelle - Übergang
  Gymnasium Helveticum, 2021/3a, 3d - 5d
• Lucius Hartmann, Norbert Hungerbühler
  Conférence Transition Gymnase - Université IV (CTGU IV): Point de rupture – Point de jonction – Transition
  Gymnasium Helveticum, 2021/3a, 3f - 5f
• Norbert Hungerbühler
  Konferenz Übergang Gymnasium-Universität IV (KUGU IV): Begrüssung zur KUGU IV
  Gymnasium Helveticum, 2021/3a, 6d
• Norbert Hungerbühler
  Conférence Transition Gymnase - Université (KUGU IV): CTGU IV – allocution de bienvenue
  Gymnasium Helveticum, 2021/3a, 6f
• Lucius Hartmann, Norbert Hungerbühler
  Jahresbericht der Kommission Gymnasium-Universität (KGU) 2021
  Gymnasium Helveticum, 2022/1, 24-25
• Lucius Hartmann, Norbert Hungerbühler
  Commission Gymnase–Université (CGU) - Rapport annuel 2021
  Gymnasium Helveticum, 2022/1, 24-25
• Lucius Hartmann, Norbert Hungerbühler
  Die Konferenzen Übergang Gymnasium-Universität: den Dialog am Übergang erfolgreich gestalten
  VSH-Bulletin Nr. 1, April 2022, 3-9

Books and monographs 

• Norbert Hungerbühler
  Einführung in partielle Differentialgleichungen
  vdf Hochschulverlag Zürich, 1997
• Norbert Hungerbühler
  Einführung in partielle Differentialgleichungen
  Zweite durchgesehene Auflage
  vdf Hochschulverlag Zürich, 2011
• Norbert Hungerbühler
  Einführung in partielle Differentialgleichungen
  Dritte überarbeietet und ergänzte Auflage
  vdf Hochschulverlag Zürich, 2022
  Spotify | YouTube | Apple Podcasts | Amazon Music
• Leon Simon (based on lecture notes by Norbert Hungerbühler)
  Theorems on regularity and singularity of energy minimizing maps
  Birkhäuser Basel, 1996
• Norbert Hungerbühler
  p-harmonic flow
  Diss. ETH No. 10740, Zürich, 1994
  Examiner Michael Struwe, Co-Examiner Jürgen Moser
• Norbert Hungerbühler
  Young measures and nonlinear PDEs
  Habilitationsschrift ETH Zürich, 2000
• Peter Ebenfelt, Norbert Hungerbühler, Joseph J. Kohn, Ngaiming Mok, Emil J. Straube (eds)
  Complex Analysis - Several complex variables and connections with PDE theory and geometry
  Trends in Mathematics
  Birkhäuser Basel, 2010
• Lorenz Halbeisen, Norbert Hungerbühler, Juan Läuchli
  Mit harmonischen Verhältnissen zu Kegelschnitten - Perlen der klassischen Geometrie
  Springer Spektrum Berlin, Heidelberg, 2016
• Lorenz Halbeisen, Norbert Hungerbühler, Juan Läuchli
  Mit harmonischen Verhältnissen zu Kegelschnitten - Perlen der klassischen Geometrie
  Zweite, erweiterte Auflage
  Springer Spektrum Berlin, Heidelberg, 2021
• Alexander Caspar, Norbert Hungerbühler
  Mathematische Modellierung in den Life Sciences
  Springer Spektrum Berlin, Heidelberg, 2022