Edit Profile (opens in new tab) Beukers, Frits Co-Author Distance Author ID: beukers.frits Published as: Beukers, Frits; Beukers, F. External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 100 Publications since 1975, including 3 Books and 4 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 98 Reviews Co-Authors: 61 Co-Authors with 46 Joint Publications 1,913 Co-Co-Authors all top 5 Co-Authors 55 single-authored 5 Vlasenko, Masha 3 Tijdeman, Robert 2 Calabi, Eugenio 2 Cushman, Richard H. 2 Heckman, Gert 2 Huijsmans, Charles Boudewijn 2 Kolk, Johan A. C. 2 Sanders, Jan A. 2 Top, Jaap 2 Wang, Jingping 1 Aarts, Johannes Michael 1 Belabas, Karim 1 Berthé, Valérie 1 Bertrand, Daniel 1 Bézivin, Jean-Paul 1 Brownawell, W. Dale 1 Chandrasekhar, Karthik 1 Clark, Alex 1 Cohen, Henri 1 de Pagter, Bernardus 1 Delaygue, Éric 1 Ehrenborg, Richard 1 Finkelnberg, Hans 1 Fokkink, Robbert Johan 1 Forsgård, Jens 1 Gaudry, Pierrick 1 Hogendijk, Jan Pieter 1 Houben, Marc 1 Jouhet, Frédéric 1 Kraaikamp, Cor 1 Lenstra, Hendrik W. jun. 1 Luca, Florian 1 Luxemburg, Wilhelmus Anthonius Josephus 1 Manin, Yuriĭ Ivanovich 1 Matala-aho, Tapani 1 McCallum, William G. 1 Mellit, Anton S. 1 Montanus, Hans 1 Oort, Frans 1 Peters, Christiaan Anthonius Maria 1 Poonen, Bjorn 1 Reinboud, Weia 1 Robba, Philippe 1 Schlickewei, Hans Peter 1 Shorey, Tarlok Nath 1 Siksek, Samir 1 Smyth, Christopher J. 1 Stewart, Cameron L. 1 Stieltjes, Thomas Jan 1 Stienstra, Jan 1 Stoll, Michael 1 Straub, Armin 1 te Riele, Herman 1 Tengely, Szabolcs 1 Väänänen, Keijo O. 1 Van Assche, Walter 1 Van de Craats, Jan 1 van der Poorten, Alfred J. 1 van der Waall, Alexa 1 Van Dijk, Gerrit 1 van Luijk, Ronald M. 1 Vidunas, Raimundas 1 Watkins, Mark James 1 Wolfart, Jürgen 1 Yager, Rodney Ian 1 Zagier, Don Bernard all top 5 Serials 7 Indagationes Mathematicae. New Series 6 Acta Arithmetica 5 Nieuw Archief voor Wiskunde. Vijfde Serie 4 Journal of Differential Equations 4 Journal of Number Theory 3 American Mathematical Monthly 3 Compositio Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 IMRN. International Mathematics Research Notices 3 Nieuw Archief voor Wiskunde. Vierde Serie 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 Annals of Mathematics. Second Series 2 Pure and Applied Mathematics Quarterly 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Journal of the Australian Mathematical Society. Series A 1 Notices of the American Mathematical Society 1 The Ramanujan Journal 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 CWI Syllabus 1 Panoramas et Synthèses 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae all top 5 Fields 72 Number theory (11-XX) 22 Algebraic geometry (14-XX) 18 Special functions (33-XX) 9 Ordinary differential equations (34-XX) 6 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Field theory and polynomials (12-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 3 Group theory and generalizations (20-XX) 3 Sequences, series, summability (40-XX) 3 Approximations and expansions (41-XX) 3 Computer science (68-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 1,127 times in 873 Documents Cited by ▼ Year ▼ Monodromy for the hypergeometric function \(_ nF_{n-1}\). Zbl 0663.30044 Beukers, F.; Heckman, G. 164 1989 A note on the irrationality of \(\zeta (2)\) and \(\zeta (3)\). Zbl 0421.10023 Beukers, F. 88 1979 On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. Zbl 0539.14006 Stienstra, Jan; Beukers, Frits 63 1985 Another congruence for the Apéry numbers. Zbl 0614.10011 Beukers, F. 62 1987 Some congruences for the Apéry numbers. Zbl 0571.10008 Beukers, F. 40 1985 Siegel normality. Zbl 0652.10027 Beukers, Frits; Brownawell, W. Dale; Heckman, Gert 35 1988 Unital embedding and complexifications of F-algebras. Zbl 0494.06010 Beukers, Frits; Huijsmans, Charles B.; de Pagter, Ben 28 1983 Cyclotomic points on curves. Zbl 1029.11009 Beukers, F.; Smyth, C. J. 27 2002 A refined version of the Siegel-Shidlovskii theorem. Zbl 1133.11044 Beukers, F. 26 2006 The equation \(x+y=1\) in finitely generated groups. Zbl 0880.11034 Beukers, F.; Schlickewei, H. P. 26 1996 On the generalized Ramanujan-Nagell equation. I. Zbl 0371.10014 Beukers, F. 24 1981 The Diophantine equation \(Ax^ p+By^ q=Cz^ r\). Zbl 1038.11505 Beukers, Frits 22 1998 Algebraic \(A\)-hypergeometric functions. Zbl 1251.33011 Beukers, Frits 22 2010 Zeeman’s monotonicity conjecture. Zbl 0944.37026 Beukers, F.; Cushman, R. 21 1998 Finite hypergeometric functions. Zbl 1397.11162 Beukers, Frits; Cohen, Henri; Mellit, Anton 21 2015 Differential Galois theory. Zbl 0813.12001 Beukers, Frits 18 1992 One symmetry does not imply integrability. Zbl 0927.37038 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 Gauss’ hypergeometric function. Zbl 1118.14012 Beukers, Frits 18 2007 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010 Stieltjes, Thomas Jan 17 1993 On Dwork’s accessory parameter problem. Zbl 1023.34081 Beukers, Frits 17 2002 Monodromy of \(A\)-hypergeometric functions. Zbl 1355.33017 Beukers, Frits 17 2016 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016 Bertrand, Daniel; Beukers, Frits 17 1985 Irrationality proofs using modular forms. Zbl 0613.10031 Beukers, F. 17 1987 Explicit calculation of elliptic fibrations of \(K3\)-surfaces and their Belyi-maps. Zbl 1266.11078 Beukers, Frits; Montanus, Hans 17 2008 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011 Beukers, F.; Shorey, T. N.; Tijdeman, R. 16 1999 On a sequence of polynomials. Zbl 0876.11009 Beukers, Frits 16 1997 On integrability of systems of evolution equations. Zbl 1130.35346 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 On the generalized Ramanujan-Nagell equation. II. Zbl 0377.10012 Beukers, F. 14 1981 A family of \(K3\) surfaces and \(\zeta(3)\). Zbl 0541.14007 Beukers, F.; Peters, C. A. M. 14 1984 The zero-multiplicity of ternary recurrences. Zbl 0717.11012 Beukers, F. 13 1991 Dwork crystals. II. Zbl 1501.11051 Beukers, Frits; Vlasenko, Masha 13 2021 Sums of generalized harmonic series and volumes. Zbl 0797.40001 Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 12 1993 Lamé equations with algebraic solutions. Zbl 1085.34068 Beukers, Frits; van der Waall, Alexa 12 2004 The multiplicity of binary recurrences. Zbl 0396.10005 Beukers, F. 12 1980 Irreducibility of \(A\)-hypergeometric systems. Zbl 1229.33023 Beukers, F. 12 2011 Padé-approximations in number theory. Zbl 0478.10016 Beukers, F. 12 1981 Ternary form equations. Zbl 0840.11027 Beukers, F. 11 1995 Fractional parts of powers of rationals. Zbl 0466.10030 Beukers, F. 10 1981 Notes on A-hypergeometric functions. Zbl 1295.33015 Beukers, F. 10 2011 On the multiplicities of binary complex recurrences. Zbl 0538.10014 Beukers, F.; Tijdeman, R. 9 1984 Algebraic values of hypergeometric functions. Zbl 0656.10030 Beukers, F.; Wolfart, J. 8 1988 Algebraic values of \(G\)-functions. Zbl 0753.11024 Beukers, F. 8 1993 Irrationality of \(\pi^2\), periods of an elliptic curve and \(\Gamma_1(5)\). Zbl 0518.10040 Beukers, F. 7 1983 The lattice-points of \(n\)-dimensional tetrahedra. Zbl 0312.10037 Beukers, F. 6 1975 Dwork crystals. I. Zbl 1492.14039 Beukers, Frits; Vlasenko, Masha 6 2021 Duality relations for hypergeometric series. Zbl 1408.33015 Beukers, Frits; Jouhet, Frédéric 6 2015 Calculus in f-algebras. Zbl 0555.06014 Beukers, F.; Huijsmans, C. B. 6 1984 Legendre polynomials in irrationality proofs. Zbl 0436.10016 Beukers, F. 5 1980 Irrationality of some \(p\)-adic \(L\)-values. Zbl 1169.11029 Beukers, Frits 5 2008 Neighboring powers. Zbl 1247.11042 Beukers, F.; Stewart, C. L. 5 2010 Gauss congruences for rational functions in several variables. Zbl 1434.11006 Beukers, Frits; Houben, Marc; Straub, Armin 4 2018 Hypergeometric functions, how special are they? Zbl 1323.33007 Beukers, Frits 4 2014 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002 Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 The complex geometry of the spherical pendulum. Zbl 1045.70011 Beukers, Frits; Cushman, Richard 3 2002 The maximal differential ideal is generated by its invariants. Zbl 0978.12008 Beukers, Frits 3 2000 Padé-approximations in number theory. Zbl 0478.10017 Beukers, F. 3 1981 A rational approach to \(\pi\). Zbl 1173.11358 Beukers, Frits 3 2000 The generalized Ramanujan-Nagell equation. Zbl 0451.10012 Beukers, F. 2 1980 Integral points on cubic surfaces. Zbl 0936.11019 Beukers, Frits 2 1999 Lower bounds of heights of points on hypersurfaces. Zbl 0869.11054 Beukers, Frits; Zagier, Don 2 1997 Some new results on algebraic independence of E-functions. Zbl 0656.10029 Beukers, F. 2 1988 The generalised Ramanujan-Nagell equation. Proefschrift. Zbl 0412.10009 Beukers, Frits 2 1979 Unitary monodromy of Lamé differential operators. Zbl 1229.34131 Beukers, F. 2 2007 Dyson’s lemma without tears. Zbl 0734.11039 Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I. 2 1991 Some supercongruences of arbitrary length. Zbl 1517.11002 Beukers, Frits; Delaygue, Eric 2 2022 \(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001 Beukers, Frits; Forsgård, Jens 2 2022 The values of polylogarithms. Zbl 0545.10022 Beukers, F. 2 1984 Arithmetical properties of Picard-Fuchs equations. Zbl 0549.10003 Beukers, F. 2 1984 Fields of definition of finite hypergeometric functions. Zbl 1443.11253 Beukers, Frits 2 2019 Exotic values of G-functions. Zbl 0792.11022 Beukers, F. 1 1993 On oranges and integral points on certain plane cubic curves. Zbl 0668.10023 Beukers, Frits; Top, Jaap 1 1988 One-sided power sum and cosine inequalities. Zbl 1269.30003 Beukers, Frits; Tijdeman, Rob 1 2013 Hypergeometric functions, from Riemann till present. Zbl 1405.33002 Beukers, Frits 1 2018 Remarks on the arithmetic properties of the values of hypergeometric functions. Zbl 0527.10032 Beukers, F.; Matala-Aho, T.; Vaeaenaenen, K. 1 1983 An alternative proof of the Lindemann-Weierstrass theorem. Zbl 0742.11038 Beukers, Frits; Bézivin, Jean-Paul; Robba, Philippe 1 1990 The generalized Fermat equation. Zbl 1365.11029 Beukers, Frits 1 2012 Geodesic continued fractions and LLL. Zbl 1369.11050 Beukers, Frits 1 2014 Some supercongruences of arbitrary length. Zbl 1517.11002 Beukers, Frits; Delaygue, Eric 2 2022 \(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001 Beukers, Frits; Forsgård, Jens 2 2022 Dwork crystals. II. Zbl 1501.11051 Beukers, Frits; Vlasenko, Masha 13 2021 Dwork crystals. I. Zbl 1492.14039 Beukers, Frits; Vlasenko, Masha 6 2021 Fields of definition of finite hypergeometric functions. Zbl 1443.11253 Beukers, Frits 2 2019 Gauss congruences for rational functions in several variables. Zbl 1434.11006 Beukers, Frits; Houben, Marc; Straub, Armin 4 2018 Hypergeometric functions, from Riemann till present. Zbl 1405.33002 Beukers, Frits 1 2018 Monodromy of \(A\)-hypergeometric functions. Zbl 1355.33017 Beukers, Frits 17 2016 Finite hypergeometric functions. Zbl 1397.11162 Beukers, Frits; Cohen, Henri; Mellit, Anton 21 2015 Duality relations for hypergeometric series. Zbl 1408.33015 Beukers, Frits; Jouhet, Frédéric 6 2015 Hypergeometric functions, how special are they? Zbl 1323.33007 Beukers, Frits 4 2014 Geodesic continued fractions and LLL. Zbl 1369.11050 Beukers, Frits 1 2014 One-sided power sum and cosine inequalities. Zbl 1269.30003 Beukers, Frits; Tijdeman, Rob 1 2013 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002 Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 The generalized Fermat equation. Zbl 1365.11029 Beukers, Frits 1 2012 Irreducibility of \(A\)-hypergeometric systems. Zbl 1229.33023 Beukers, F. 12 2011 Notes on A-hypergeometric functions. Zbl 1295.33015 Beukers, F. 10 2011 Algebraic \(A\)-hypergeometric functions. Zbl 1251.33011 Beukers, Frits 22 2010 Neighboring powers. Zbl 1247.11042 Beukers, F.; Stewart, C. L. 5 2010 Explicit calculation of elliptic fibrations of \(K3\)-surfaces and their Belyi-maps. Zbl 1266.11078 Beukers, Frits; Montanus, Hans 17 2008 Irrationality of some \(p\)-adic \(L\)-values. Zbl 1169.11029 Beukers, Frits 5 2008 Gauss’ hypergeometric function. Zbl 1118.14012 Beukers, Frits 18 2007 Unitary monodromy of Lamé differential operators. Zbl 1229.34131 Beukers, F. 2 2007 A refined version of the Siegel-Shidlovskii theorem. Zbl 1133.11044 Beukers, F. 26 2006 Lamé equations with algebraic solutions. Zbl 1085.34068 Beukers, Frits; van der Waall, Alexa 12 2004 Cyclotomic points on curves. Zbl 1029.11009 Beukers, F.; Smyth, C. J. 27 2002 On Dwork’s accessory parameter problem. Zbl 1023.34081 Beukers, Frits 17 2002 The complex geometry of the spherical pendulum. Zbl 1045.70011 Beukers, Frits; Cushman, Richard 3 2002 On integrability of systems of evolution equations. Zbl 1130.35346 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 The maximal differential ideal is generated by its invariants. Zbl 0978.12008 Beukers, Frits 3 2000 A rational approach to \(\pi\). Zbl 1173.11358 Beukers, Frits 3 2000 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011 Beukers, F.; Shorey, T. N.; Tijdeman, R. 16 1999 Integral points on cubic surfaces. Zbl 0936.11019 Beukers, Frits 2 1999 The Diophantine equation \(Ax^ p+By^ q=Cz^ r\). Zbl 1038.11505 Beukers, Frits 22 1998 Zeeman’s monotonicity conjecture. Zbl 0944.37026 Beukers, F.; Cushman, R. 21 1998 One symmetry does not imply integrability. Zbl 0927.37038 Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 On a sequence of polynomials. Zbl 0876.11009 Beukers, Frits 16 1997 Lower bounds of heights of points on hypersurfaces. Zbl 0869.11054 Beukers, Frits; Zagier, Don 2 1997 The equation \(x+y=1\) in finitely generated groups. Zbl 0880.11034 Beukers, F.; Schlickewei, H. P. 26 1996 Ternary form equations. Zbl 0840.11027 Beukers, F. 11 1995 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010 Stieltjes, Thomas Jan 17 1993 Sums of generalized harmonic series and volumes. Zbl 0797.40001 Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 12 1993 Algebraic values of \(G\)-functions. Zbl 0753.11024 Beukers, F. 8 1993 Exotic values of G-functions. Zbl 0792.11022 Beukers, F. 1 1993 Differential Galois theory. Zbl 0813.12001 Beukers, Frits 18 1992 The zero-multiplicity of ternary recurrences. Zbl 0717.11012 Beukers, F. 13 1991 Dyson’s lemma without tears. Zbl 0734.11039 Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I. 2 1991 An alternative proof of the Lindemann-Weierstrass theorem. Zbl 0742.11038 Beukers, Frits; Bézivin, Jean-Paul; Robba, Philippe 1 1990 Monodromy for the hypergeometric function \(_ nF_{n-1}\). Zbl 0663.30044 Beukers, F.; Heckman, G. 164 1989 Siegel normality. Zbl 0652.10027 Beukers, Frits; Brownawell, W. Dale; Heckman, Gert 35 1988 Algebraic values of hypergeometric functions. Zbl 0656.10030 Beukers, F.; Wolfart, J. 8 1988 Some new results on algebraic independence of E-functions. Zbl 0656.10029 Beukers, F. 2 1988 On oranges and integral points on certain plane cubic curves. Zbl 0668.10023 Beukers, Frits; Top, Jaap 1 1988 Another congruence for the Apéry numbers. Zbl 0614.10011 Beukers, F. 62 1987 Irrationality proofs using modular forms. Zbl 0613.10031 Beukers, F. 17 1987 On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. Zbl 0539.14006 Stienstra, Jan; Beukers, Frits 63 1985 Some congruences for the Apéry numbers. Zbl 0571.10008 Beukers, F. 40 1985 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016 Bertrand, Daniel; Beukers, Frits 17 1985 A family of \(K3\) surfaces and \(\zeta(3)\). Zbl 0541.14007 Beukers, F.; Peters, C. A. M. 14 1984 On the multiplicities of binary complex recurrences. Zbl 0538.10014 Beukers, F.; Tijdeman, R. 9 1984 Calculus in f-algebras. Zbl 0555.06014 Beukers, F.; Huijsmans, C. B. 6 1984 The values of polylogarithms. Zbl 0545.10022 Beukers, F. 2 1984 Arithmetical properties of Picard-Fuchs equations. Zbl 0549.10003 Beukers, F. 2 1984 Unital embedding and complexifications of F-algebras. Zbl 0494.06010 Beukers, Frits; Huijsmans, Charles B.; de Pagter, Ben 28 1983 Irrationality of \(\pi^2\), periods of an elliptic curve and \(\Gamma_1(5)\). Zbl 0518.10040 Beukers, F. 7 1983 Remarks on the arithmetic properties of the values of hypergeometric functions. Zbl 0527.10032 Beukers, F.; Matala-Aho, T.; Vaeaenaenen, K. 1 1983 On the generalized Ramanujan-Nagell equation. I. Zbl 0371.10014 Beukers, F. 24 1981 On the generalized Ramanujan-Nagell equation. II. Zbl 0377.10012 Beukers, F. 14 1981 Padé-approximations in number theory. Zbl 0478.10016 Beukers, F. 12 1981 Fractional parts of powers of rationals. Zbl 0466.10030 Beukers, F. 10 1981 Padé-approximations in number theory. Zbl 0478.10017 Beukers, F. 3 1981 The multiplicity of binary recurrences. Zbl 0396.10005 Beukers, F. 12 1980 Legendre polynomials in irrationality proofs. Zbl 0436.10016 Beukers, F. 5 1980 The generalized Ramanujan-Nagell equation. Zbl 0451.10012 Beukers, F. 2 1980 A note on the irrationality of \(\zeta (2)\) and \(\zeta (3)\). Zbl 0421.10023 Beukers, F. 88 1979 The generalised Ramanujan-Nagell equation. Proefschrift. Zbl 0412.10009 Beukers, Frits 2 1979 The lattice-points of \(n\)-dimensional tetrahedra. Zbl 0312.10037 Beukers, F. 6 1975 all cited Publications top 5 cited Publications all top 5 Cited by 919 Authors 26 Rivoal, Tanguy 18 Beukers, Frits 17 Zudilin, Wadim 15 Zannier, Umberto M. 13 Fischler, Stéphane 13 Long, Ling 11 Hajdu, Lajos 10 Bennett, Michael A. 10 Sanders, Jan A. 10 Straub, Armin 10 Wang, Jingping 9 Reiter, Stefan 8 Chirskiĭ, Vladimir Grigor’evich 8 Luca, Florian 8 Roques, Julien 8 Sperber, Steven I. 8 Tu, Fang-Ting 7 Dettweiler, Michael 7 Gasull, Armengol 7 Mañosa, Víctor 7 Singh, Sandip 7 Vidunas, Raimundas 6 Bostan, Alin 6 Boulabiar, Karim Mohamed 6 Corvaja, Pietro 6 de Pagter, Bernardus 6 Dubickas, Artūras 6 Forsgård, Jens 6 Gorelov, Vasiliĭ Aleksandrovich 6 Le, Maohua 6 Osburn, Robert 5 Adolphson, Alan 5 André, Yves 5 Bastien, Guy 5 Cima, Anna 5 Franc, Cameron 5 Guo, Victor J. W. 5 He, Yang-Hui Evariste 5 Lin, Chang-Shou 5 Mao, Guo-Shuai 5 McCarthy, Dermot 5 Miyazaki, Takafumi 5 Rogalski, Marc 5 Sun, Zhihong 5 Swisher, Holly 5 Takayama, Nobuki 5 Tzanakis, Nikos 5 Van Assche, Walter 5 van Hoeij, Mark 5 Zeilberger, Doron 5 Zhang, Yong 4 Bajpai, Jitendra 4 Buskes, Gerard J. H. M. 4 Canci, Jung Kyu 4 Dahmen, Sander R. 4 Delaygue, Éric 4 Doran, Charles F. 4 Fuchs, Clemens 4 Goto, Yoshiaki 4 Győry, Kálmán 4 Hata, Masayoshi 4 Huijsmans, Charles Boudewijn 4 Kalita, Gautam 4 Karp, Dmitriĭ Borisovich 4 Kawashima, Makoto 4 Kedlaya, Kiran Sridhara 4 Koutschan, Christoph 4 Krattenthaler, Christian Friedrich 4 Li, Wen-Ch’ing Winnie 4 Mason, Geoffrey 4 Mignotte, Maurice 4 Mortenson, Eric T. 4 Ostafe, Alina 4 Pan, Hao 4 Rodriguez-Villegas, Fernando 4 Sahu, Brundaban 4 Shparlinski, Igor E. 4 van der Kamp, Peter H. 4 van der Put, Marius 4 Venkataramana, Tyakal Nanjundiah 4 Vlasenko, Masha 4 Yang, Yifan 4 Zlobin, S. A. 3 Adamczewski, Boris 3 Amdeberhan, Tewodros 3 Asakura, Masanori 3 Bérczes, Attila 3 Berkesch Zamaere, Christine 3 Bertrand, Daniel 3 Bilu, Yuri F. 3 Brezhnev, Yurii V. 3 Bugeaud, Yann 3 Chen, Zhijie 3 Degtyarev, Alex 3 Evertse, Jan-Hendrik 3 Ferguson, Timothy 3 Fuselier, Jenny G. 3 Golyshev, Vasily V. 3 Gómez, Carlos Alexis 3 Harris, Michael Howard ...and 819 more Authors all top 5 Cited in 235 Serials 64 Journal of Number Theory 28 Transactions of the American Mathematical Society 28 Indagationes Mathematicae. New Series 23 Journal de Théorie des Nombres de Bordeaux 23 International Journal of Number Theory 21 The Ramanujan Journal 18 Proceedings of the American Mathematical Society 16 Advances in Mathematics 15 Journal of Algebra 14 Mathematical Notes 14 Journal of Differential Equations 12 Journal of Difference Equations and Applications 11 Compositio Mathematica 11 Inventiones Mathematicae 10 Journal of Mathematical Sciences (New York) 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Journal of Mathematical Analysis and Applications 9 Annales de l’Institut Fourier 9 Journal für die Reine und Angewandte Mathematik 8 Bulletin of the Australian Mathematical Society 8 Journal of Mathematical Physics 8 Mathematics of Computation 8 Acta Arithmetica 8 Journal of Computational and Applied Mathematics 8 Experimental Mathematics 8 Journal of High Energy Physics 8 Research in Number Theory 7 Mathematische Zeitschrift 6 American Mathematical Monthly 6 Rocky Mountain Journal of Mathematics 6 Bulletin of the London Mathematical Society 6 Duke Mathematical Journal 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 5 Communications in Mathematical Physics 5 Functiones et Approximatio. Commentarii Mathematici 5 Journal of the London Mathematical Society. Second Series 5 Monatshefte für Mathematik 5 Quaestiones Mathematicae 5 Linear Algebra and its Applications 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Doklady Mathematics 5 Journal of the Australian Mathematical Society 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Israel Journal of Mathematics 4 Czechoslovak Mathematical Journal 4 Michigan Mathematical Journal 4 Results in Mathematics 4 Advances in Applied Mathematics 4 Physica D 4 International Journal of Mathematics 4 Oberwolfach Reports 4 Journal of Physics A: Mathematical and Theoretical 4 Science China. Mathematics 4 Research in the Mathematical Sciences 3 Computer Physics Communications 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica 3 Journal of Geometry and Physics 3 Bulletin de la Société Mathématique de France 3 Journal of the Mathematical Society of Japan 3 Manuscripta Mathematica 3 Mathematika 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the Japan Academy. Series A 3 Studies in Applied Mathematics 3 Theoretical Computer Science 3 Tôhoku Mathematical Journal. Second Series 3 Journal of Symbolic Computation 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Algebraic Geometry 3 Kyushu Journal of Mathematics 3 Finite Fields and their Applications 3 Integral Transforms and Special Functions 3 Positivity 3 Regular and Chaotic Dynamics 3 Integers 3 Journal of Nonlinear Mathematical Physics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Advances in Difference Equations 2 Communications in Algebra 2 Letters in Mathematical Physics 2 Lithuanian Mathematical Journal 2 Nuclear Physics. B 2 Problems of Information Transmission 2 Acta Mathematica 2 Algebra Universalis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Functional Analysis 2 Journal of Pure and Applied Algebra 2 Mathematische Annalen ...and 135 more Serials all top 5 Cited in 50 Fields 516 Number theory (11-XX) 249 Special functions (33-XX) 184 Algebraic geometry (14-XX) 85 Ordinary differential equations (34-XX) 68 Dynamical systems and ergodic theory (37-XX) 62 Combinatorics (05-XX) 59 Field theory and polynomials (12-XX) 59 Several complex variables and analytic spaces (32-XX) 36 Partial differential equations (35-XX) 33 Quantum theory (81-XX) 32 Difference and functional equations (39-XX) 29 Functions of a complex variable (30-XX) 26 Functional analysis (46-XX) 25 Group theory and generalizations (20-XX) 23 Computer science (68-XX) 22 Commutative algebra (13-XX) 20 Operator theory (47-XX) 18 Approximations and expansions (41-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 15 Topological groups, Lie groups (22-XX) 14 Numerical analysis (65-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Nonassociative rings and algebras (17-XX) 9 Sequences, series, summability (40-XX) 7 Associative rings and algebras (16-XX) 7 Integral transforms, operational calculus (44-XX) 6 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mathematical logic and foundations (03-XX) 3 \(K\)-theory (19-XX) 3 Algebraic topology (55-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.