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: 95 Publications since 1975, including 3 Books 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 98 Reviews Co-Authors: 60 Co-Authors with 43 Joint Publications 1,829 Co-Co-Authors all top 5 Co-Authors 53 single-authored 3 Tijdeman, Robert 3 Vlasenko, Masha 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 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 Nieuw Archief voor Wiskunde. Vierde Serie 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Mathematische Zeitschrift 2 IMRN. International Mathematics Research Notices 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 68 Number theory (11-XX) 21 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 1,071 times in 834 Documents Cited by ▼ Year ▼ Monodromy for the hypergeometric function \(_ nF_{n-1}\). Zbl 0663.30044Beukers, F.; Heckman, G. 158 1989 A note on the irrationality of \(\zeta (2)\) and \(\zeta (3)\). Zbl 0421.10023Beukers, F. 88 1979 On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. Zbl 0539.14006Stienstra, Jan; Beukers, Frits 60 1985 Another congruence for the Apéry numbers. Zbl 0614.10011Beukers, F. 59 1987 Some congruences for the Apéry numbers. Zbl 0571.10008Beukers, F. 38 1985 Siegel normality. Zbl 0652.10027Beukers, Frits; Brownawell, W. Dale; Heckman, Gert 34 1988 Unital embedding and complexifications of F-algebras. Zbl 0494.06010Beukers, Frits; Huijsmans, Charles B.; de Pagter, Ben 26 1983 The equation \(x+y=1\) in finitely generated groups. Zbl 0880.11034Beukers, F.; Schlickewei, H. P. 25 1996 Cyclotomic points on curves. Zbl 1029.11009Beukers, F.; Smyth, C. J. 25 2002 On the generalized Ramanujan-Nagell equation. I. Zbl 0371.10014Beukers, F. 24 1981 A refined version of the Siegel-Shidlovskii theorem. Zbl 1133.11044Beukers, F. 24 2006 Algebraic \(A\)-hypergeometric functions. Zbl 1251.33011Beukers, Frits 22 2010 Zeeman’s monotonicity conjecture. Zbl 0944.37026Beukers, F.; Cushman, R. 21 1998 The Diophantine equation \(Ax^ p+By^ q=Cz^ r\). Zbl 1038.11505Beukers, Frits 21 1998 Finite hypergeometric functions. Zbl 1397.11162Beukers, Frits; Cohen, Henri; Mellit, Anton 19 2015 Differential Galois theory. Zbl 0813.12001Beukers, Frits 18 1992 One symmetry does not imply integrability. Zbl 0927.37038Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 Explicit calculation of elliptic fibrations of \(K3\)-surfaces and their Belyi-maps. Zbl 1266.11078Beukers, Frits; Montanus, Hans 17 2008 Gauss’ hypergeometric function. Zbl 1118.14012Beukers, Frits 17 2007 On a sequence of polynomials. Zbl 0876.11009Beukers, Frits 16 1997 On Dwork’s accessory parameter problem. Zbl 1023.34081Beukers, Frits 16 2002 Monodromy of \(A\)-hypergeometric functions. Zbl 1355.33017Beukers, Frits 16 2016 On integrability of systems of evolution equations. Zbl 1130.35346Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016Bertrand, Daniel; Beukers, Frits 15 1985 On the generalized Ramanujan-Nagell equation. II. Zbl 0377.10012Beukers, F. 14 1981 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010Stieltjes, Thomas Jan 14 1993 Irrationality proofs using modular forms. Zbl 0613.10031Beukers, F. 14 1987 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011Beukers, F.; Shorey, T. N.; Tijdeman, R. 14 1999 Dwork crystals. II. Zbl 1501.11051Beukers, Frits; Vlasenko, Masha 12 2021 Irreducibility of \(A\)-hypergeometric systems. Zbl 1229.33023Beukers, F. 12 2011 The multiplicity of binary recurrences. Zbl 0396.10005Beukers, F. 12 1980 The zero-multiplicity of ternary recurrences. Zbl 0717.11012Beukers, F. 12 1991 Lamé equations with algebraic solutions. Zbl 1085.34068Beukers, Frits; van der Waall, Alexa 12 2004 A family of \(K3\) surfaces and \(\zeta(3)\). Zbl 0541.14007Beukers, F.; Peters, C. A. M. 11 1984 Ternary form equations. Zbl 0840.11027Beukers, F. 10 1995 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 10 1993 Notes on A-hypergeometric functions. Zbl 1295.33015Beukers, F. 10 2011 Fractional parts of powers of rationals. Zbl 0466.10030Beukers, F. 9 1981 Padé-approximations in number theory. Zbl 0478.10016Beukers, F. 9 1981 Algebraic values of \(G\)-functions. Zbl 0753.11024Beukers, F. 8 1993 On the multiplicities of binary complex recurrences. Zbl 0538.10014Beukers, F.; Tijdeman, R. 8 1984 Algebraic values of hypergeometric functions. Zbl 0656.10030Beukers, F.; Wolfart, J. 7 1988 The lattice-points of \(n\)-dimensional tetrahedra. Zbl 0312.10037Beukers, F. 6 1975 Dwork crystals. I. Zbl 1492.14039Beukers, Frits; Vlasenko, Masha 6 2021 Calculus in f-algebras. Zbl 0555.06014Beukers, F.; Huijsmans, C. B. 6 1984 Irrationality of some \(p\)-adic \(L\)-values. Zbl 1169.11029Beukers, Frits 5 2008 Legendre polynomials in irrationality proofs. Zbl 0436.10016Beukers, F. 5 1980 Neighboring powers. Zbl 1247.11042Beukers, F.; Stewart, C. L. 5 2010 Duality relations for hypergeometric series. Zbl 1408.33015Beukers, Frits; Jouhet, Frédéric 5 2015 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 Irrationality of \(\pi^ 2\), periods of an elliptic curve and \(\Gamma_ 1(5)\). Zbl 0518.10040Beukers, F. 4 1983 Hypergeometric functions, how special are they? Zbl 1323.33007Beukers, Frits 4 2014 Gauss congruences for rational functions in several variables. Zbl 1434.11006Beukers, Frits; Houben, Marc; Straub, Armin 4 2018 Padé-approximations in number theory. Zbl 0478.10017Beukers, F. 3 1981 The complex geometry of the spherical pendulum. Zbl 1045.70011Beukers, Frits; Cushman, Richard 3 2002 A rational approach to \(\pi\). Zbl 1173.11358Beukers, Frits 3 2000 The maximal differential ideal is generated by its invariants. Zbl 0978.12008Beukers, Frits 3 2000 The generalised Ramanujan-Nagell equation. Proefschrift. Zbl 0412.10009Beukers, Frits 2 1979 The generalized Ramanujan-Nagell equation. Zbl 0451.10012Beukers, F. 2 1980 Lower bounds of heights of points on hypersurfaces. Zbl 0869.11054Beukers, Frits; Zagier, Don 2 1997 Fields of definition of finite hypergeometric functions. Zbl 1443.11253Beukers, Frits 2 2019 Some new results on algebraic independence of E-functions. Zbl 0656.10029Beukers, F. 2 1988 Unitary monodromy of Lamé differential operators. Zbl 1229.34131Beukers, F. 2 2007 The values of polylogarithms. Zbl 0545.10022Beukers, F. 2 1984 Integral points on cubic surfaces. Zbl 0936.11019Beukers, Frits 2 1999 \(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001Beukers, Frits; Forsgård, Jens 2 2022 An alternative proof of the Lindemann-Weierstrass theorem. Zbl 0742.11038Beukers, Frits; Bézivin, Jean-Paul; Robba, Philippe 1 1990 One-sided power sum and cosine inequalities. Zbl 1269.30003Beukers, Frits; Tijdeman, Rob 1 2013 Exotic values of G-functions. Zbl 0792.11022Beukers, F. 1 1993 Dyson’s lemma without tears. Zbl 0734.11039Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I. 1 1991 Some supercongruences of arbitrary length. Zbl 1517.11002Beukers, Frits; Delaygue, Eric 1 2022 Remarks on the arithmetic properties of the values of hypergeometric functions. Zbl 0527.10032Beukers, F.; Matala-Aho, T.; Vaeaenaenen, K. 1 1983 Hypergeometric functions, from Riemann till present. Zbl 1405.33002Beukers, Frits 1 2018 On oranges and integral points on certain plane cubic curves. Zbl 0668.10023Beukers, Frits; Top, Jaap 1 1988 Arithmetical properties of Picard-Fuchs equations. Zbl 0549.10003Beukers, F. 1 1984 The generalized Fermat equation. Zbl 1365.11029Beukers, Frits 1 2012 Geodesic continued fractions and LLL. Zbl 1369.11050Beukers, Frits 1 2014 \(\Gamma\)-evaluations of hypergeometric series. Zbl 1518.33001Beukers, Frits; Forsgård, Jens 2 2022 Some supercongruences of arbitrary length. Zbl 1517.11002Beukers, Frits; Delaygue, Eric 1 2022 Dwork crystals. II. Zbl 1501.11051Beukers, Frits; Vlasenko, Masha 12 2021 Dwork crystals. I. Zbl 1492.14039Beukers, Frits; Vlasenko, Masha 6 2021 Fields of definition of finite hypergeometric functions. Zbl 1443.11253Beukers, Frits 2 2019 Gauss congruences for rational functions in several variables. Zbl 1434.11006Beukers, Frits; Houben, Marc; Straub, Armin 4 2018 Hypergeometric functions, from Riemann till present. Zbl 1405.33002Beukers, Frits 1 2018 Monodromy of \(A\)-hypergeometric functions. Zbl 1355.33017Beukers, Frits 16 2016 Finite hypergeometric functions. Zbl 1397.11162Beukers, Frits; Cohen, Henri; Mellit, Anton 19 2015 Duality relations for hypergeometric series. Zbl 1408.33015Beukers, Frits; Jouhet, Frédéric 5 2015 Hypergeometric functions, how special are they? Zbl 1323.33007Beukers, Frits 4 2014 Geodesic continued fractions and LLL. Zbl 1369.11050Beukers, Frits 1 2014 One-sided power sum and cosine inequalities. Zbl 1269.30003Beukers, Frits; Tijdeman, Rob 1 2013 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 The generalized Fermat equation. Zbl 1365.11029Beukers, Frits 1 2012 Irreducibility of \(A\)-hypergeometric systems. Zbl 1229.33023Beukers, F. 12 2011 Notes on A-hypergeometric functions. Zbl 1295.33015Beukers, F. 10 2011 Algebraic \(A\)-hypergeometric functions. Zbl 1251.33011Beukers, Frits 22 2010 Neighboring powers. Zbl 1247.11042Beukers, F.; Stewart, C. L. 5 2010 Explicit calculation of elliptic fibrations of \(K3\)-surfaces and their Belyi-maps. Zbl 1266.11078Beukers, Frits; Montanus, Hans 17 2008 Irrationality of some \(p\)-adic \(L\)-values. Zbl 1169.11029Beukers, Frits 5 2008 Gauss’ hypergeometric function. Zbl 1118.14012Beukers, Frits 17 2007 Unitary monodromy of Lamé differential operators. Zbl 1229.34131Beukers, F. 2 2007 A refined version of the Siegel-Shidlovskii theorem. Zbl 1133.11044Beukers, F. 24 2006 Lamé equations with algebraic solutions. Zbl 1085.34068Beukers, Frits; van der Waall, Alexa 12 2004 Cyclotomic points on curves. Zbl 1029.11009Beukers, F.; Smyth, C. J. 25 2002 On Dwork’s accessory parameter problem. Zbl 1023.34081Beukers, Frits 16 2002 The complex geometry of the spherical pendulum. Zbl 1045.70011Beukers, Frits; Cushman, Richard 3 2002 On integrability of systems of evolution equations. Zbl 1130.35346Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 15 2001 A rational approach to \(\pi\). Zbl 1173.11358Beukers, Frits 3 2000 The maximal differential ideal is generated by its invariants. Zbl 0978.12008Beukers, Frits 3 2000 Irreducibility of polynomials and arithmetic progressions with equal products of terms. Zbl 0933.11011Beukers, F.; Shorey, T. N.; Tijdeman, R. 14 1999 Integral points on cubic surfaces. Zbl 0936.11019Beukers, Frits 2 1999 Zeeman’s monotonicity conjecture. Zbl 0944.37026Beukers, F.; Cushman, R. 21 1998 The Diophantine equation \(Ax^ p+By^ q=Cz^ r\). Zbl 1038.11505Beukers, Frits 21 1998 One symmetry does not imply integrability. Zbl 0927.37038Beukers, Frits; Sanders, Jan A.; Wang, Jing Ping 18 1998 On a sequence of polynomials. Zbl 0876.11009Beukers, Frits 16 1997 Lower bounds of heights of points on hypersurfaces. Zbl 0869.11054Beukers, Frits; Zagier, Don 2 1997 The equation \(x+y=1\) in finitely generated groups. Zbl 0880.11034Beukers, F.; Schlickewei, H. P. 25 1996 Ternary form equations. Zbl 0840.11027Beukers, F. 10 1995 Œuvres complètes. Collected papers. Ed. by Gerrit van Dijk. Volumes 1 and 2. Zbl 0779.01010Stieltjes, Thomas Jan 14 1993 Sums of generalized harmonic series and volumes. Zbl 0797.40001Beukers, Frits; Kolk, Johan A. C.; Calabi, Eugenio 10 1993 Algebraic values of \(G\)-functions. Zbl 0753.11024Beukers, F. 8 1993 Exotic values of G-functions. Zbl 0792.11022Beukers, F. 1 1993 Differential Galois theory. Zbl 0813.12001Beukers, Frits 18 1992 The zero-multiplicity of ternary recurrences. Zbl 0717.11012Beukers, F. 12 1991 Dyson’s lemma without tears. Zbl 0734.11039Beukers, Frits; van der Poorten, Alfred J.; Yager, Rodney I. 1 1991 An alternative proof of the Lindemann-Weierstrass theorem. Zbl 0742.11038Beukers, Frits; Bézivin, Jean-Paul; Robba, Philippe 1 1990 Monodromy for the hypergeometric function \(_ nF_{n-1}\). Zbl 0663.30044Beukers, F.; Heckman, G. 158 1989 Siegel normality. Zbl 0652.10027Beukers, Frits; Brownawell, W. Dale; Heckman, Gert 34 1988 Algebraic values of hypergeometric functions. Zbl 0656.10030Beukers, F.; Wolfart, J. 7 1988 Some new results on algebraic independence of E-functions. Zbl 0656.10029Beukers, F. 2 1988 On oranges and integral points on certain plane cubic curves. Zbl 0668.10023Beukers, Frits; Top, Jaap 1 1988 Another congruence for the Apéry numbers. Zbl 0614.10011Beukers, F. 59 1987 Irrationality proofs using modular forms. Zbl 0613.10031Beukers, F. 14 1987 On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. Zbl 0539.14006Stienstra, Jan; Beukers, Frits 60 1985 Some congruences for the Apéry numbers. Zbl 0571.10008Beukers, F. 38 1985 Équations différentielles linéaires et majorations de multiplicités. (Linear differential equations and upper bounds for multiplicities). Zbl 0578.12016Bertrand, Daniel; Beukers, Frits 15 1985 A family of \(K3\) surfaces and \(\zeta(3)\). Zbl 0541.14007Beukers, F.; Peters, C. A. M. 11 1984 On the multiplicities of binary complex recurrences. Zbl 0538.10014Beukers, F.; Tijdeman, R. 8 1984 Calculus in f-algebras. Zbl 0555.06014Beukers, F.; Huijsmans, C. B. 6 1984 The values of polylogarithms. Zbl 0545.10022Beukers, F. 2 1984 Arithmetical properties of Picard-Fuchs equations. Zbl 0549.10003Beukers, F. 1 1984 Unital embedding and complexifications of F-algebras. Zbl 0494.06010Beukers, Frits; Huijsmans, Charles B.; de Pagter, Ben 26 1983 Irrationality of \(\pi^ 2\), periods of an elliptic curve and \(\Gamma_ 1(5)\). Zbl 0518.10040Beukers, F. 4 1983 Remarks on the arithmetic properties of the values of hypergeometric functions. Zbl 0527.10032Beukers, F.; Matala-Aho, T.; Vaeaenaenen, K. 1 1983 On the generalized Ramanujan-Nagell equation. I. Zbl 0371.10014Beukers, F. 24 1981 On the generalized Ramanujan-Nagell equation. II. Zbl 0377.10012Beukers, F. 14 1981 Fractional parts of powers of rationals. Zbl 0466.10030Beukers, F. 9 1981 Padé-approximations in number theory. Zbl 0478.10016Beukers, F. 9 1981 Padé-approximations in number theory. Zbl 0478.10017Beukers, F. 3 1981 The multiplicity of binary recurrences. Zbl 0396.10005Beukers, F. 12 1980 Legendre polynomials in irrationality proofs. Zbl 0436.10016Beukers, F. 5 1980 The generalized Ramanujan-Nagell equation. Zbl 0451.10012Beukers, F. 2 1980 A note on the irrationality of \(\zeta (2)\) and \(\zeta (3)\). Zbl 0421.10023Beukers, F. 88 1979 The generalised Ramanujan-Nagell equation. Proefschrift. Zbl 0412.10009Beukers, Frits 2 1979 The lattice-points of \(n\)-dimensional tetrahedra. Zbl 0312.10037Beukers, F. 6 1975 all cited Publications top 5 cited Publications all top 5 Cited by 880 Authors 24 Rivoal, Tanguy 18 Beukers, Frits 16 Zudilin, Wadim 15 Zannier, Umberto M. 13 Long, Ling 12 Fischler, Stéphane 10 Bennett, Michael A. 10 Hajdu, Lajos 10 Sanders, Jan A. 10 Straub, Armin 10 Wang, Jingping 9 Reiter, Stefan 8 Chirskiĭ, Vladimir Grigor’evich 8 Roques, Julien 8 Sperber, Steven I. 8 Tu, Fang-Ting 7 Dettweiler, Michael 7 Gasull, Armengol 7 Luca, Florian 7 Mañosa, Víctor 7 Singh, Sandip 7 Vidunas, Raimundas 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 Bostan, Alin 5 Cima, Anna 5 Franc, Cameron 5 Guo, Victor J. W. 5 He, Yang-Hui Evariste 5 Lin, Chang-Shou 5 McCarthy, Dermot 5 Miyazaki, Takafumi 5 Rogalski, Marc 5 Swisher, Holly 5 Takayama, Nobuki 5 Tzanakis, Nikos 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 Koutschan, Christoph 4 Li, Wen-Ch’ing Winnie 4 Mason, Geoffrey 4 Mignotte, Maurice 4 Mortenson, Eric T. 4 Rodriguez-Villegas, Fernando 4 Sahu, Brundaban 4 Sun, Zhihong 4 Van Assche, Walter 4 van der Kamp, Peter H. 4 van der Put, Marius 4 Venkataramana, Tyakal Nanjundiah 4 Vlasenko, Masha 4 Zlobin, S. A. 3 Adamczewski, Boris 3 Amdeberhan, Tewodros 3 Bérczes, Attila 3 Berkesch Zamaere, Christine 3 Bertrand, Daniel 3 Bilu, Yuri F. 3 Brezhnev, Yurii V. 3 Bugeaud, Yann 3 Campana, Frédéric 3 Chen, Zhijie 3 Degtyarev, Alex 3 Evertse, Jan-Hendrik 3 Ferguson, Timothy 3 Fuselier, Jenny G. 3 Harris, Michael Howard 3 Hernández Heredero, Rafael 3 Huttner, Marc 3 Jankauskas, Jonas 3 Karp, Dmitriĭ Borisovich 3 Katz, Nicholas Michael 3 Kauers, Manuel 3 Kedlaya, Kiran Sridhara 3 Krattenthaler, Christian Friedrich 3 Kreso, Dijana 3 Liu, Jicai 3 Malagón, Camilo Sanabria ...and 780 more Authors all top 5 Cited in 227 Serials 62 Journal of Number Theory 28 Indagationes Mathematicae. New Series 27 Transactions of the American Mathematical Society 23 Journal de Théorie des Nombres de Bordeaux 22 International Journal of Number Theory 19 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 Annales de l’Institut Fourier 9 Journal für die Reine und Angewandte Mathematik 8 Bulletin of the Australian Mathematical Society 8 Journal of Mathematical Analysis and Applications 8 Journal of Mathematical Physics 8 Journal of Computational and Applied Mathematics 8 Journal of High Energy Physics 8 Research in Number Theory 7 Mathematics of Computation 7 Acta Arithmetica 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 Experimental Mathematics 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 5 Functiones et Approximatio. Commentarii Mathematici 5 Quaestiones Mathematicae 5 Linear Algebra and its Applications 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Czechoslovak Mathematical Journal 4 Michigan Mathematical Journal 4 Monatshefte für Mathematik 4 Results in Mathematics 4 Advances in Applied Mathematics 4 Physica D 4 International Journal of Mathematics 4 Doklady Mathematics 4 Journal of the Australian Mathematical Society 4 Journal of Physics A: Mathematical and Theoretical 4 Science China. Mathematics 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 London Mathematical Society. Second Series 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 Theoretical Computer Science 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 Regular and Chaotic Dynamics 3 Journal of Nonlinear Mathematical Physics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Advances in Difference Equations 3 Research in the Mathematical Sciences 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 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Studies in Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae ...and 127 more Serials all top 5 Cited in 50 Fields 487 Number theory (11-XX) 237 Special functions (33-XX) 175 Algebraic geometry (14-XX) 81 Ordinary differential equations (34-XX) 65 Dynamical systems and ergodic theory (37-XX) 57 Field theory and polynomials (12-XX) 56 Several complex variables and analytic spaces (32-XX) 55 Combinatorics (05-XX) 37 Partial differential equations (35-XX) 32 Quantum theory (81-XX) 31 Difference and functional equations (39-XX) 26 Functions of a complex variable (30-XX) 24 Functional analysis (46-XX) 21 Commutative algebra (13-XX) 21 Group theory and generalizations (20-XX) 21 Computer science (68-XX) 20 Operator theory (47-XX) 18 Approximations and expansions (41-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 14 Topological groups, Lie groups (22-XX) 13 Numerical analysis (65-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Nonassociative rings and algebras (17-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Sequences, series, summability (40-XX) 6 Associative rings and algebras (16-XX) 6 Differential geometry (53-XX) 6 Manifolds and cell complexes (57-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral transforms, operational calculus (44-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Convex and discrete geometry (52-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Algebraic topology (55-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-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. 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