Edit Profile (opens in new tab) Birch, Bryan John Co-Author Distance Author ID: birch.bryan-j Published as: Birch, B. J.; Birch, Bryan; Birch, B.; Birch, Bryan J. more...less Further Spellings: Бёрч Брайан Homepage: https://www.maths.ox.ac.uk/people/bryan.birch External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 64 Publications since 1955 3 Contributions as Editor · 4 Further Contributions Co-Authors: 27 Co-Authors with 31 Joint Publications 674 Co-Co-Authors all top 5 Co-Authors 36 single-authored 7 Swinnerton-Dyer, Peter 5 Davenport, Harold 5 Lewis, Donald-J. 3 Stephens, Nelson M. 2 Colliot-Thélène, Jean-Louis 2 Skorobogatov, Alexei Nikolaïevitch 2 Tate, John Torrence jun. 1 Atkin, Arthur Oliver Lonsdale 1 Baker, Alan 1 Bennett, Bruce M. 1 Bombieri, Enrico 1 Burns, Robert G. 1 Chowla, Sarvadaman 1 Coates, John Henry 1 Deligne, Pierre 1 Friedlander, John Benjamin 1 Gross, Benedict Hyman 1 Halberstam, Heini 1 Hall, Marshall jun. 1 Iwaniec, Henryk 1 Kuyk, Willem 1 Laxton, R. R. 1 McCann, Kevin S. 1 Merriman, J. R. 1 Murphy, T. G. 1 Neumann, Peter Michael 1 Oates-Williams, Sheila 1 Reid, Miles 1 Rogers, Claude Ambrose 1 Sankaran, Gregory Kumar 1 Schinzel, Andrzej 1 Scourfield, Eira J. 1 Serre, Jean-Pierre 1 Wirsing, Eduard all top 5 Serials 7 Proceedings of the Cambridge Philosophical Society 6 Acta Arithmetica 5 Mathematika 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Journal of the London Mathematical Society 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 American Journal of Mathematics 1 Glasgow Mathematical Journal 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Number Theory 1 Michigan Mathematical Journal 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Topology 1 Trabajos de Estadistica y de Investigacion Operativa 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Notices of the American Mathematical Society 1 Journal of Mathematical Sciences (New York) 1 Annals of Mathematics. Second Series 1 Det Kongelige Norske Videnskabers Selskabs Forhandlinger 1 Lecture Notes in Mathematics all top 5 Fields 46 Number theory (11-XX) 16 Algebraic geometry (14-XX) 7 History and biography (01-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 57 Publications have been cited 925 times in 807 Documents Cited by ▼ Year ▼ Forms in many variables. Zbl 0103.03102 Birch, B. J. 111 1962 Notes on elliptic curves. II. Zbl 0147.02506 Birch, B. J.; Swinnerton-Dyer, H. P. F. 104 1965 How the number of points of an elliptic curve over a fixed prime field varies. Zbl 0183.25503 Birch, B. J. 65 1968 Global class field theory. Zbl 1179.11041 Tate, J. T. 61 1967 Notes on elliptic curves. I. Zbl 0118.27601 Birch, B. J.; Swinnerton-Dyer, H. P. F. 61 1963 Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 – August 3, 1972. Zbl 0315.14014 57 1975 Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri. Zbl 0572.10029 Friedlander, John B.; Iwaniec, Henryk 55 1985 The parity of the rank of the Mordell-Weil group. Zbl 0146.42401 Birch, B. J.; Stephens, N. M. 39 1966 Homogeneous forms of odd degree in a large number of variables. Zbl 0081.04501 Birch, B. J. 32 1957 On a problem of Chowla. Zbl 0267.10065 Baker, A.; Birch, B. J.; Wirsing, E. A. 31 1973 Weber’s class invariants. Zbl 0226.12005 Birch, B. J. 30 1969 Finiteness theorems for binary forms with given discriminant. Zbl 0248.12002 Birch, B. J.; Merriman, J. R. 27 1972 Note on a problem of Chowla. Zbl 0091.04301 Birch, B. J.; Swinnerton-Dyer, H. P. F. 24 1959 On 3 \(N\) points in a plane. Zbl 0089.38502 Birch, B. J. 21 1959 A look back at Ramanujan’s notebooks. Zbl 0305.10002 Birch, B. J. 21 1975 Elliptic curves and modular functions. Zbl 1214.11081 Swinnerton-Dyer, H. P. F.; Birch, B. J. 19 1975 Noncongruence subgroups, covers and drawings. Zbl 0930.11024 Birch, Bryan 17 1994 Note on a problem of Erdős. Zbl 0093.05003 Birch, B. J. 16 1959 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702 Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 On the orbit-sizes of permutation groups containing elements separating finite subsets. Zbl 0334.20003 Birch, B. J.; Burns, R. G.; Macdonald, Sheila Oates; Neumann, Peter M. 13 1976 Quadratic equations in several variables. Zbl 0081.04401 Birch, B. J.; Davenport, Harold 12 1958 On a theorem of Davenport and Heilbronn. Zbl 0082.26002 Birch, B. J.; Davenport, Harold 12 1958 Simultaneous quadratic forms. Zbl 0111.02001 Birch, B. J.; Lewis, D. J.; Murphy, T. G. 12 1962 Heegner points of elliptic curves. Zbl 0317.14015 Birch, B. J. 12 1975 The Hasse problem for rational surfaces. Zbl 0326.14007 Birch, B. J.; Swinnterton-Dyer, H. P. F. 12 1974 On the difference \(x^ 3 -y^ 2\). Zbl 0144.03901 Birch, B. J.; Chowla, Sarvadaman; Hall, M. jun.; Schinzel, Andrzej 11 1965 The addition of norm forms. Zbl 0105.02804 Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 Waring’s problem in algebraic number fields. Zbl 0111.25104 Birch, B. J. 9 1961 Elliptic curves and modular functions. Zbl 0225.14016 Birch, B. J. 9 1970 Cyclotomic fields and Kummer extensions. Zbl 1492.11155 Birch, B. J. 9 1967 Complex multiplication. Zbl 1492.11104 Serre, J.-P. 9 1967 Indefinite quadratic forms in many variables. Zbl 0084.27201 Birch, B. J.; Davenport, Harold 8 1958 A criterion for the \(p\)-adic solubility of diophantine equations. Zbl 0269.10010 Birch, B. J.; McCann, K. 8 1967 Computation of Heegner points. Zbl 0559.14010 Birch, Bryan J.; Stephens, Nelson M. 7 1984 The inhomogeneous minimum of quadratic forms of signature zero. Zbl 0080.03405 Birch, B. J. 7 1958 Elliptic curves over \(\mathbb{Q}\): A progress report. Zbl 0214.19801 Birch, B. J. 7 1971 Small zeros of diagonal forms of odd degree in many variables. Zbl 0198.37201 Birch, B. J. 7 1970 Multiplicative functions with non-decreasing normal order. Zbl 0159.05703 Birch, B. J. 6 1967 Hecke actions on classes of ternary quadratic forms. Zbl 0748.11023 Birch, B. J. 6 1991 \(p\)-adic forms. Zbl 0096.02503 Birch, B. J.; Lewis, D. J. 5 1960 Waring’s problem for \(p\)-adic number fields. Zbl 0131.28901 Birch, B. J. 5 1964 Diophantine analysis and modular functions. Zbl 0246.10017 Birch, B. J. 5 1969 Some calculations of modular relations. Zbl 0261.10019 Birch, B. J. 5 1973 Heegner points: the beginnings. Zbl 1073.11001 Birch, Bryan 5 2004 Correspondence. Zbl 1073.11002 Birch, Bryan; Gross, Benedict 5 2004 Systems of three quadratic forms. Zbl 0152.01503 Birch, B. J.; Lewis, D. J. 4 1965 Computers in number theory. Proceedings of the science research council Atlas symposium No. 2 held at Oxford, from 18–23 August, 1969. Zbl 0214.00106 4 1971 Conjectures concerning elliptic curves. Zbl 0238.14011 Birch, B. J. 4 1965 On games with almost complete information. Zbl 0064.38303 Birch, B. J. 3 1955 On p-adic forms. Zbl 0122.25405 Birch, B. J.; Lewis, D. J. 3 1962 Heegner’s construction of points on the curve \(y^ 2=x^ 2-1728e^ 3\). Zbl 0535.14012 Birch, B. J.; Stephens, N. M. 2 1983 A transference theorem of the geometry of numbers. Zbl 0071.27301 Birch, B. J. 2 1956 Note on Weyl’s inequality. Zbl 0105.03801 Birch, B. J.; Davenport, Harold 2 1962 \(K_ 2\) of global fields. Zbl 0218.12010 Birch, B. J. 2 1971 Heegner’s proof. Zbl 1357.11109 Birch, Bryan 1 2011 Sampling inspection tables for comparison of two groups using the negative binomial model. Zbl 0125.37402 Bennett, B. M.; Birch, B. 1 1964 The collected works of Harold Davenport. Vols. I, II, III and IV. Zbl 0383.01022 1 1977 Heegner’s proof. Zbl 1357.11109 Birch, Bryan 1 2011 Heegner points: the beginnings. Zbl 1073.11001 Birch, Bryan 5 2004 Correspondence. Zbl 1073.11002 Birch, Bryan; Gross, Benedict 5 2004 Noncongruence subgroups, covers and drawings. Zbl 0930.11024 Birch, Bryan 17 1994 Hecke actions on classes of ternary quadratic forms. Zbl 0748.11023 Birch, B. J. 6 1991 Incomplete Kloosterman sums and a divisor problem. Appendix: On some exponential sums by Bryan J. Birch and Enrico Bombieri. Zbl 0572.10029 Friedlander, John B.; Iwaniec, Henryk 55 1985 Computation of Heegner points. Zbl 0559.14010 Birch, Bryan J.; Stephens, Nelson M. 7 1984 Heegner’s construction of points on the curve \(y^ 2=x^ 2-1728e^ 3\). Zbl 0535.14012 Birch, B. J.; Stephens, N. M. 2 1983 The collected works of Harold Davenport. Vols. I, II, III and IV. Zbl 0383.01022 1 1977 On the orbit-sizes of permutation groups containing elements separating finite subsets. Zbl 0334.20003 Birch, B. J.; Burns, R. G.; Macdonald, Sheila Oates; Neumann, Peter M. 13 1976 Modular functions of one variable. IV. Proceedings of the international summer school, University of Antwerp, RUCA, July 17 – August 3, 1972. Zbl 0315.14014 57 1975 A look back at Ramanujan’s notebooks. Zbl 0305.10002 Birch, B. J. 21 1975 Elliptic curves and modular functions. Zbl 1214.11081 Swinnerton-Dyer, H. P. F.; Birch, B. J. 19 1975 Heegner points of elliptic curves. Zbl 0317.14015 Birch, B. J. 12 1975 The Hasse problem for rational surfaces. Zbl 0326.14007 Birch, B. J.; Swinnterton-Dyer, H. P. F. 12 1974 On a problem of Chowla. Zbl 0267.10065 Baker, A.; Birch, B. J.; Wirsing, E. A. 31 1973 Some calculations of modular relations. Zbl 0261.10019 Birch, B. J. 5 1973 Finiteness theorems for binary forms with given discriminant. Zbl 0248.12002 Birch, B. J.; Merriman, J. R. 27 1972 Elliptic curves over \(\mathbb{Q}\): A progress report. Zbl 0214.19801 Birch, B. J. 7 1971 Computers in number theory. Proceedings of the science research council Atlas symposium No. 2 held at Oxford, from 18–23 August, 1969. Zbl 0214.00106 4 1971 \(K_ 2\) of global fields. Zbl 0218.12010 Birch, B. J. 2 1971 Elliptic curves and modular functions. Zbl 0225.14016 Birch, B. J. 9 1970 Small zeros of diagonal forms of odd degree in many variables. Zbl 0198.37201 Birch, B. J. 7 1970 Weber’s class invariants. Zbl 0226.12005 Birch, B. J. 30 1969 Diophantine analysis and modular functions. Zbl 0246.10017 Birch, B. J. 5 1969 How the number of points of an elliptic curve over a fixed prime field varies. Zbl 0183.25503 Birch, B. J. 65 1968 Global class field theory. Zbl 1179.11041 Tate, J. T. 61 1967 Cyclotomic fields and Kummer extensions. Zbl 1492.11155 Birch, B. J. 9 1967 Complex multiplication. Zbl 1492.11104 Serre, J.-P. 9 1967 A criterion for the \(p\)-adic solubility of diophantine equations. Zbl 0269.10010 Birch, B. J.; McCann, K. 8 1967 Multiplicative functions with non-decreasing normal order. Zbl 0159.05703 Birch, B. J. 6 1967 The parity of the rank of the Mordell-Weil group. Zbl 0146.42401 Birch, B. J.; Stephens, N. M. 39 1966 Notes on elliptic curves. II. Zbl 0147.02506 Birch, B. J.; Swinnerton-Dyer, H. P. F. 104 1965 On the difference \(x^ 3 -y^ 2\). Zbl 0144.03901 Birch, B. J.; Chowla, Sarvadaman; Hall, M. jun.; Schinzel, Andrzej 11 1965 Systems of three quadratic forms. Zbl 0152.01503 Birch, B. J.; Lewis, D. J. 4 1965 Conjectures concerning elliptic curves. Zbl 0238.14011 Birch, B. J. 4 1965 Waring’s problem for \(p\)-adic number fields. Zbl 0131.28901 Birch, B. J. 5 1964 Sampling inspection tables for comparison of two groups using the negative binomial model. Zbl 0125.37402 Bennett, B. M.; Birch, B. 1 1964 Notes on elliptic curves. I. Zbl 0118.27601 Birch, B. J.; Swinnerton-Dyer, H. P. F. 61 1963 Forms in many variables. Zbl 0103.03102 Birch, B. J. 111 1962 Simultaneous quadratic forms. Zbl 0111.02001 Birch, B. J.; Lewis, D. J.; Murphy, T. G. 12 1962 The addition of norm forms. Zbl 0105.02804 Birch, B. J.; Davenport, Harold; Lewis, D. J. 10 1962 On p-adic forms. Zbl 0122.25405 Birch, B. J.; Lewis, D. J. 3 1962 Note on Weyl’s inequality. Zbl 0105.03801 Birch, B. J.; Davenport, Harold 2 1962 Waring’s problem in algebraic number fields. Zbl 0111.25104 Birch, B. J. 9 1961 \(p\)-adic forms. Zbl 0096.02503 Birch, B. J.; Lewis, D. J. 5 1960 Note on a problem of Chowla. Zbl 0091.04301 Birch, B. J.; Swinnerton-Dyer, H. P. F. 24 1959 On 3 \(N\) points in a plane. Zbl 0089.38502 Birch, B. J. 21 1959 Note on a problem of Erdős. Zbl 0093.05003 Birch, B. J. 16 1959 Quadratic equations in several variables. Zbl 0081.04401 Birch, B. J.; Davenport, Harold 12 1958 On a theorem of Davenport and Heilbronn. Zbl 0082.26002 Birch, B. J.; Davenport, Harold 12 1958 Indefinite quadratic forms in many variables. Zbl 0084.27201 Birch, B. J.; Davenport, Harold 8 1958 The inhomogeneous minimum of quadratic forms of signature zero. Zbl 0080.03405 Birch, B. J. 7 1958 Homogeneous forms of odd degree in a large number of variables. Zbl 0081.04501 Birch, B. J. 32 1957 On the inhomogeneous minimum of the product of n linear forms. Zbl 0074.03702 Birch, B. J.; Swinnerton-Dyer, H. P. F. 14 1956 A transference theorem of the geometry of numbers. Zbl 0071.27301 Birch, B. J. 2 1956 On games with almost complete information. Zbl 0064.38303 Birch, B. J. 3 1955 all cited Publications top 5 cited Publications all top 5 Cited by 875 Authors 15 Murty, Maruti Ram 12 Shparlinski, Igor E. 11 Schmidt, Wolfgang M. 10 Heath-Brown, Roger 9 Browning, Timothy Daniel 9 Chen, Yonggao 9 Raka, Madhu 7 González-Jiménez, Enrique 7 Hans-Gill, Rajinder J. 7 Miller, Steven J. 6 Bhargava, Manjul 6 Cook, Brian 6 Cremona, John E. 6 Fang, Jinhui 6 Fisher, Tom A. 6 Magyar, Akos 6 Mazur, Barry 6 Rubin, Karl Cooper 6 Schindler, Damaris 6 Wooley, Trevor D. 5 Bambah, R. P. 5 Brandes, Julia 5 Dietmann, Rainer 5 Glazunov, Mykola Mykhaĭlovych 5 Jeon, Daeyeol 5 Kathuria, Leetika 5 Ono, Ken 5 Parsell, Scott T. 5 Qin, Hourong 5 Silverberg, Alice 5 Skorobogatov, Alexei Nikolaïevitch 5 Yamagishi, Shuntaro 4 Bharadwaj, Abhishek T. 4 Byeon, Dongho 4 Creutz, Brendan 4 Dokchitser, Tim 4 Dumir, Vishwa Chander 4 Elliott, Peter D. T. A. 4 Flynn, Eugene Victor 4 Goldfeld, Dorian Morris 4 Gross, Benedict Hyman 4 Gun, Sanoli 4 Jeong, Keunyoung 4 Katz, Nicholas Michael 4 Morain, François 4 Pathak, Siddhi S. 4 Peyre, Emmanuel 4 Prabhu, Neha 4 Roudneff, Jean-Pierre 4 Saradha, N. 4 Sarnak, Peter Clive 4 Sawin, William F. 4 Schlickewei, Hans Peter 4 Sehmi, Ranjeet 4 Shankar, Arul 4 Sijsling, Jeroen 4 Siksek, Samir 4 Sofos, Efthymios 4 Ramdorai, Sujatha 4 Vila, Núria 4 Voight, John Michael 3 Aggarwal, Satish Kumar 3 Akhtari, Shabnam 3 Barrios, Alexander J. 3 Bayer Isant, Pilar 3 Brüdern, Jörg 3 Bruinier, Jan Hendrik 3 Bulkhali, Nasser Abdo Saeed 3 Cameron, Peter Jephson 3 Chatterjee, Tapas 3 Coates, John Henry 3 Colliot-Thélène, Jean-Louis 3 de la Bretèche, Régis 3 Dokchitser, Vladimir 3 Dujella, Andrej 3 Duke, William Drexel 3 Elsenhans, Andreas-Stephan 3 Evertse, Jan-Hendrik 3 Frey, Gerhard 3 Gelbart, Stephen S. 3 Granville, Andrew James 3 Guo, Xuejun 3 Győry, Kálmán 3 Harvey, M. P. 3 Hughes, Kevin 3 Jahnel, Jörg 3 Kanemitsu, Shigeru 3 Kim, Chang Heon 3 Kowalski, Emmanuel 3 Kraus, Alain 3 Leep, David B. 3 Lehmann, Brian 3 Loughran, Daniel 3 Lozano-Robledo, Álvaro 3 Michel, Philippe Gabriel 3 Mirek, Mariusz 3 Monsky, Paul 3 Munshi, Ritabrata 3 Plans, Bernat 3 Podsypanin, Evgeniĭ Vladimirovich ...and 775 more Authors all top 5 Cited in 167 Serials 92 Journal of Number Theory 28 Mathematics of Computation 28 Inventiones Mathematicae 27 Compositio Mathematica 24 Transactions of the American Mathematical Society 23 International Journal of Number Theory 22 Duke Mathematical Journal 22 Journal de Théorie des Nombres de Bordeaux 19 Mathematische Annalen 17 Bulletin of the American Mathematical Society. New Series 16 Journal of Algebra 16 Monatshefte für Mathematik 14 Manuscripta Mathematica 14 Mathematische Zeitschrift 13 Advances in Mathematics 12 Annales de l’Institut Fourier 12 Proceedings of the American Mathematical Society 12 The Ramanujan Journal 11 Acta Arithmetica 11 Mathematika 10 Israel Journal of Mathematics 10 Archiv der Mathematik 10 Research in Number Theory 9 Mathematical Notes 9 Rocky Mountain Journal of Mathematics 9 Journal für die Reine und Angewandte Mathematik 9 Proceedings of the Japan Academy. Series A 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 7 Journal of Soviet Mathematics 6 European Journal of Combinatorics 6 Annals of Mathematics. Second Series 5 Glasgow Mathematical Journal 5 Finite Fields and their Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Acta Mathematica 4 Bulletin of the London Mathematical Society 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of the London Mathematical Society. Second Series 4 Journal of Pure and Applied Algebra 4 Journal of the American Mathematical Society 4 Indagationes Mathematicae. New Series 4 Experimental Mathematics 4 Kyushu Journal of Mathematics 4 Science China. Mathematics 3 Acta Mathematica Academiae Scientiarum Hungaricae 3 Bulletin of the Australian Mathematical Society 3 Communications in Algebra 3 Indian Journal of Pure & Applied Mathematics 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Combinatorial Theory. Series A 3 Proceedings of the London Mathematical Society. Third Series 3 Acta Mathematica Hungarica 3 Journal of Symbolic Computation 3 Forum Mathematicum 3 Expositiones Mathematicae 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Oberwolfach Reports 3 Bulletin de la Société Mathématique de France. Supplément. Mémoires 3 Research in the Mathematical Sciences 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Applied Mathematics and Computation 2 Computing 2 The Journal of the Indian Mathematical Society. New Series 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Pacific Journal of Mathematics 2 Annals of Pure and Applied Logic 2 Geometric and Functional Analysis. GAFA 2 Cybernetics and Systems Analysis 2 Journal of Mathematical Sciences (New York) 2 Documenta Mathematica 2 LMS Journal of Computation and Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the American Mathematical Society 2 Algebra & Number Theory 2 Albanian Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Discrete Analysis 2 Transactions of the American Mathematical Society. Series B 2 Annales Henri Lebesgue 1 Archive for History of Exact Sciences 1 Discrete Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Periodica Mathematica Hungarica 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 BIT 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici ...and 67 more Serials all top 5 Cited in 42 Fields 687 Number theory (11-XX) 273 Algebraic geometry (14-XX) 30 Field theory and polynomials (12-XX) 29 Group theory and generalizations (20-XX) 29 Convex and discrete geometry (52-XX) 27 Combinatorics (05-XX) 21 Special functions (33-XX) 12 History and biography (01-XX) 12 Probability theory and stochastic processes (60-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Functions of a complex variable (30-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 7 Mathematical logic and foundations (03-XX) 7 Commutative algebra (13-XX) 7 \(K\)-theory (19-XX) 7 Topological groups, Lie groups (22-XX) 7 Computer science (68-XX) 7 Information and communication theory, circuits (94-XX) 5 Associative rings and algebras (16-XX) 5 Geometry (51-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 4 Measure and integration (28-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 4 Algebraic topology (55-XX) 4 Quantum theory (81-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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