Edit Profile (opens in new tab) Denef, Jan Compute Distance To: Compute Author ID: denef.jan Published as: Denef, Jan; Denef, J. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 66 Publications since 1972 1 Contribution as Editor Co-Authors: 26 Co-Authors with 48 Joint Publications 509 Co-Co-Authors all top 5 Co-Authors 19 single-authored 16 Loeser, François 9 Lipshitz, Leonard 4 Sargos, Patrick 4 Vercauteren, Frederik 3 Becker, Joseph A. 2 Piessens, Robert 2 van den Dries, Lou 1 Abramovich, Dan 1 Artin, Michael 1 Castryck, Wouter 1 Cluckers, Raf 1 Gyoja, Akihiko 1 Harbater, David 1 Hoornaert, Kathleen 1 Jacobs, Philippe 1 Jarden, Moshe 1 Karu, Kalle 1 Laeremans, Ann 1 Lewis, Donald-J. 1 Meuser, Diane 1 Nicaise, Johannes 1 Pheidas, Thanases 1 Schoutens, Hans 1 Sperber, Steven I. 1 Van Geel, Jan 1 Veys, Willem all top 5 Serials 4 Inventiones Mathematicae 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 American Journal of Mathematics 3 Compositio Mathematica 3 Mathematische Annalen 2 Journal d’Analyse Mathématique 2 Duke Mathematical Journal 2 Journal of Number Theory 2 Journal of the American Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 The Journal of Symbolic Logic 1 Manuscripta Mathematica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Simon Stevin 1 Topology 1 Journal of Cryptology 1 International Journal of Mathematics 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 IMRP. International Mathematics Research Papers 1 Bulletin de la Société Mathématique de Belgique 1 Contemporary Mathematics 1 Algebra & Number Theory all top 5 Fields 45 Algebraic geometry (14-XX) 42 Number theory (11-XX) 22 Mathematical logic and foundations (03-XX) 18 Field theory and polynomials (12-XX) 12 Commutative algebra (13-XX) 12 Several complex variables and analytic spaces (32-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 1,577 times in 891 Documents Cited by ▼ Year ▼ Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004Denef, Jan; Loeser, François 172 1999 \(p\)-adic and real subanalytic sets. Zbl 0693.14012Denef, J.; van den Dries, Lou 129 1988 Motivic Igusa zeta functions. Zbl 0943.14010Denef, Jan; Loeser, François 108 1998 Geometry on arc spaces of algebraic varieties. Zbl 1079.14003Denef, Jan; Loeser, François 95 2001 The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011Denef, J. 86 1984 p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015Denef, Jan 58 1986 Euler-Poincaré characteristics, local zeta functions and analytic modifications. (Caractéristiques d’Euler-Poincaré, fonctions zêta locales et modifications analytiques.) Zbl 0777.32017Denef, J.; Loeser, F. 56 1992 Report on Igusa’s local zeta function. Zbl 0749.11054Denef, Jan 48 1991 Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025Denef, J.; Loeser, F. 44 1991 On the degree of Igusa’s local zeta function. Zbl 0659.14017Denef, J. 44 1987 The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048Denef, J. 40 1978 Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010Denef, Jan; Loeser, François 38 2001 Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003Denef, Jan; Loeser, François 37 2002 Power series solutions of algebraic differential equations. Zbl 0518.12015Denef, J.; Lipshitz, L. 37 1984 Diophantine sets over some rings of algebraic integers. Zbl 0399.10049Denef, J.; Lipshitz, L. 34 1978 Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001Denef, Jan; Loeser, François 33 2002 Algebraic power series and diagonals. Zbl 0609.12020Denef, J.; Lipshitz, L. 32 1987 Ultraproducts and approximation in local rings. I. Zbl 0416.13004Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou 31 1979 Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038Denef, Jan; Hoornaert, Kathleen 31 2001 Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032Denef, J. 30 1975 Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015Denef, Jan; Loeser, François 25 1999 Diophantine sets over algebraic integer rings. II. Zbl 0426.12009Denef, J. 24 1980 Ultraproducts and approximation in local rings. II. Zbl 0426.13010Denef, J.; Lipshitz, L. 19 1980 Computing zeta functions of nondegenerate curves. Zbl 1161.14302Castryck, W.; Denef, J.; Vercauteren, F. 18 2006 On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067Denef, Jan; Loeser, François 18 2004 The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011Denef, J. 17 1979 Local zeta functions and Euler characteristics. Zbl 0738.11060Denef, J. 15 1991 A functional equation of Igusa’s zeta function. Zbl 0749.11053Denef, Jan; Meuser, Diane 15 1991 An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017Denef, Jan; Vercauteren, Frederik 14 2006 Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003Denef, Jan; Sargos, Patrick 14 1989 Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032Denef, Jan; Vercauteren, Frederik 14 2006 Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0854.11066Denef, J. 12 1995 The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003Denef, J.; Piessens, R. 11 1974 Degree of local zeta functions and monodromy. Zbl 0932.11073Denef, J. 11 1993 Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057Denef, J.; Sperber, S. 11 2002 Decision problems for differential equations. Zbl 0683.03039Denef, J.; Lipshitz, L. 11 1989 Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029Denef, J.; Loeser, F. 10 2002 Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019Denef, J.; Loeser, F. 10 1995 Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041Denef, Jan 10 2000 Newton polyhedron and \(f^ s_ +\) distribution. II. (Polyèdre de Newton et distribution \(f^ s_ +\). II.) Zbl 0778.32010Denef, Jan; Sargos, Patrick 9 1992 Oscillating integrals and Newton polyhedra. Zbl 1093.14006Denef, Jan; Nicaise, Johannes; Sargos, Patrick 9 2005 On the evaluation of certain p-adic integrals. Zbl 0597.12021Denef, J. 9 1985 Diophantine sets over \(Z[T]\). Zbl 0393.03035Denef, J. 7 1978 Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034 7 2000 Weak toroidalization over non-closed fields. Zbl 1279.14020Abramovich, Dan; Denef, Jan; Karu, Kalle 7 2013 On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068Denef, Jan; Veys, Willem 7 1995 Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013Becker, J.; Denef, J.; Lipshitz, L. 6 1980 Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086Denef, Jan; Gyoja, Akihiko 5 1998 Character sums associated to finite Coxeter groups. Zbl 0957.11051Denef, Jan; Loeser, François 5 1998 On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006Denef, Jan; Schoutens, Hans 5 2003 Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048Denef, Jan 5 2016 Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0591.14016Denef, Jan 5 1985 Smoothing of a ring homomorphism along a section. Zbl 0555.14002Artin, M.; Denef, J. 5 1983 On the largest nontrivial pole of the distribution \(| f| ^ s\). Zbl 1044.11613Denef, J.; Laeremans, A.; Sargos, P. 4 1997 An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040Denef, Jan; Vercauteren, Frederik 4 2002 The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004Becker, Joseph; Denef, J.; Lipshitz, L. 3 1983 On the vanishing of principal value integrals. Zbl 1029.11064Denef, Jan; Jacobs, Philippe 2 1998 Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036Denef, J.; Loeser, F. 2 1994 Monomialization of morphisms and \(p\)-adic quantifier elimination. Zbl 1274.14026Denef, Jan 2 2013 Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048Denef, J.; Loeser, F. 1 1990 Macdonald integrals and monodromy. Zbl 1111.32305Denef, Jan; Loeser, François 1 2001 Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020Denef, Jan 1 2019 Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013Denef, J. 1 1988 On Ax-fields which are \(C_ i\). Zbl 0519.12015Denef, Jan; Jarden, Moshe; Lewis, D. J. 1 1983 Orbital integrals for linear groups. Zbl 1135.11065Cluckers, Raf; Denef, Jan 1 2008 Global approximation in dimension two. Zbl 0707.13003Denef, Jan; Harbater, David 1 1990 Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020Denef, Jan 1 2019 Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048Denef, Jan 5 2016 Weak toroidalization over non-closed fields. Zbl 1279.14020Abramovich, Dan; Denef, Jan; Karu, Kalle 7 2013 Monomialization of morphisms and \(p\)-adic quantifier elimination. Zbl 1274.14026Denef, Jan 2 2013 Orbital integrals for linear groups. Zbl 1135.11065Cluckers, Raf; Denef, Jan 1 2008 Computing zeta functions of nondegenerate curves. Zbl 1161.14302Castryck, W.; Denef, J.; Vercauteren, F. 18 2006 An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017Denef, Jan; Vercauteren, Frederik 14 2006 Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032Denef, Jan; Vercauteren, Frederik 14 2006 Oscillating integrals and Newton polyhedra. Zbl 1093.14006Denef, Jan; Nicaise, Johannes; Sargos, Patrick 9 2005 On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067Denef, Jan; Loeser, François 18 2004 On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006Denef, Jan; Schoutens, Hans 5 2003 Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003Denef, Jan; Loeser, François 37 2002 Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001Denef, Jan; Loeser, François 33 2002 Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057Denef, J.; Sperber, S. 11 2002 Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029Denef, J.; Loeser, F. 10 2002 An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040Denef, Jan; Vercauteren, Frederik 4 2002 Geometry on arc spaces of algebraic varieties. Zbl 1079.14003Denef, Jan; Loeser, François 95 2001 Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010Denef, Jan; Loeser, François 38 2001 Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038Denef, Jan; Hoornaert, Kathleen 31 2001 Macdonald integrals and monodromy. Zbl 1111.32305Denef, Jan; Loeser, François 1 2001 Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041Denef, Jan 10 2000 Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034 7 2000 Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004Denef, Jan; Loeser, François 172 1999 Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015Denef, Jan; Loeser, François 25 1999 Motivic Igusa zeta functions. Zbl 0943.14010Denef, Jan; Loeser, François 108 1998 Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086Denef, Jan; Gyoja, Akihiko 5 1998 Character sums associated to finite Coxeter groups. Zbl 0957.11051Denef, Jan; Loeser, François 5 1998 On the vanishing of principal value integrals. Zbl 1029.11064Denef, Jan; Jacobs, Philippe 2 1998 On the largest nontrivial pole of the distribution \(| f| ^ s\). Zbl 1044.11613Denef, J.; Laeremans, A.; Sargos, P. 4 1997 Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0854.11066Denef, J. 12 1995 Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019Denef, J.; Loeser, F. 10 1995 On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068Denef, Jan; Veys, Willem 7 1995 Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036Denef, J.; Loeser, F. 2 1994 Degree of local zeta functions and monodromy. Zbl 0932.11073Denef, J. 11 1993 Euler-Poincaré characteristics, local zeta functions and analytic modifications. (Caractéristiques d’Euler-Poincaré, fonctions zêta locales et modifications analytiques.) Zbl 0777.32017Denef, J.; Loeser, F. 56 1992 Newton polyhedron and \(f^ s_ +\) distribution. II. (Polyèdre de Newton et distribution \(f^ s_ +\). II.) Zbl 0778.32010Denef, Jan; Sargos, Patrick 9 1992 Report on Igusa’s local zeta function. Zbl 0749.11054Denef, Jan 48 1991 Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025Denef, J.; Loeser, F. 44 1991 Local zeta functions and Euler characteristics. Zbl 0738.11060Denef, J. 15 1991 A functional equation of Igusa’s zeta function. Zbl 0749.11053Denef, Jan; Meuser, Diane 15 1991 Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048Denef, J.; Loeser, F. 1 1990 Global approximation in dimension two. Zbl 0707.13003Denef, Jan; Harbater, David 1 1990 Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003Denef, Jan; Sargos, Patrick 14 1989 Decision problems for differential equations. Zbl 0683.03039Denef, J.; Lipshitz, L. 11 1989 \(p\)-adic and real subanalytic sets. Zbl 0693.14012Denef, J.; van den Dries, Lou 129 1988 Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013Denef, J. 1 1988 On the degree of Igusa’s local zeta function. Zbl 0659.14017Denef, J. 44 1987 Algebraic power series and diagonals. Zbl 0609.12020Denef, J.; Lipshitz, L. 32 1987 p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015Denef, Jan 58 1986 On the evaluation of certain p-adic integrals. Zbl 0597.12021Denef, J. 9 1985 Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0591.14016Denef, Jan 5 1985 The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011Denef, J. 86 1984 Power series solutions of algebraic differential equations. Zbl 0518.12015Denef, J.; Lipshitz, L. 37 1984 Smoothing of a ring homomorphism along a section. Zbl 0555.14002Artin, M.; Denef, J. 5 1983 The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004Becker, Joseph; Denef, J.; Lipshitz, L. 3 1983 On Ax-fields which are \(C_ i\). Zbl 0519.12015Denef, Jan; Jarden, Moshe; Lewis, D. J. 1 1983 Diophantine sets over algebraic integer rings. II. Zbl 0426.12009Denef, J. 24 1980 Ultraproducts and approximation in local rings. II. Zbl 0426.13010Denef, J.; Lipshitz, L. 19 1980 Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013Becker, J.; Denef, J.; Lipshitz, L. 6 1980 Ultraproducts and approximation in local rings. I. Zbl 0416.13004Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou 31 1979 The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011Denef, J. 17 1979 The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048Denef, J. 40 1978 Diophantine sets over some rings of algebraic integers. Zbl 0399.10049Denef, J.; Lipshitz, L. 34 1978 Diophantine sets over \(Z[T]\). Zbl 0393.03035Denef, J. 7 1978 Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032Denef, J. 30 1975 The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003Denef, J.; Piessens, R. 11 1974 all cited Publications top 5 cited Publications all top 5 Cited by 737 Authors 33 Veys, Willem 31 Cluckers, Raf 20 Loeser, François 20 Shlapentokh, Alexandra 19 Denef, Jan 16 Zúñiga-Galindo, Wilson A. 15 Nicaise, Johannes 14 Sebag, Julien 12 Halupczok, Immanuel 10 Leenknegt, Eva 10 Lipshitz, Leonard 10 Raibaut, Michel 9 de Fernex, Tommaso 8 Fichou, Goulwen 8 Gusein-Zade, Sabir M. 8 Kaiser, Tobias 8 Lemahieu, Ann 8 Pasten, Hector V. 8 Pheidas, Thanases 8 Schoutens, Hans 7 Lê, Quy Thuong 7 León-Cardenal, Edwin 7 Mustaţă, Mircea 7 Popescu, Dorin 7 Segers, Dirk 7 van den Dries, Lou 7 Voll, Christopher 7 Yasuda, Takehiko 6 Bélair, Luc 6 Budur, Nero 6 Cubides Kovacsics, Pablo 6 Docampo, Roi 6 Falkensteiner, Sebastian 6 Haskell, Deirdre 6 Kollár, János 6 Mourtada, Hussein 6 Myasnikov, Alexei G. 6 Nguyen, Kien Huu 6 Piessens, Robert 6 Reguera, Ana-José 6 Rond, Guillaume 6 Rossmann, Tobias 6 Saito, Morihiko 6 Stapledon, Alan 6 Van Proeyen, Lise 6 Villa, Manuel González 5 Aschenbrenner, Matthias 5 Branders, Maria 5 Campillo, Antonio 5 Delgado, Felix 5 du Sautoy, Marcus P. F. 5 Eisenträger, Kirsten 5 Hales, Thomas Callister 5 Hubrechts, Hendrik 5 Ishii, Shihoko 5 Kapranov, Mikhail M. 5 Macintyre, Angus John 5 Macpherson, Dugald 5 Maxim, Laurentiu G. 5 Melle-Hernández, Alejandro 5 Takeuchi, Kiyoshi 5 van der Hoeven, Joris 5 Vasserot, Eric 4 Allouche, Jean-Paul Simon 4 Campesato, Jean-Baptiste 4 Cassou-Noguès, Pierrette 4 Castryck, Wouter 4 Çelikler, Y. Firat 4 Davison, Ben 4 Demeyer, Jeroen 4 Fernández de Bobadilla, Javier 4 Gordon, Julia 4 Kamimoto, Joe 4 Kim, Ki Hang 4 Klopsch, Benjamin 4 Libgober, Anatoly S. 4 Miller, Chris 4 Moyano Fernández, Julio José 4 Nose, Toshihiro 4 Nowak, Krzysztof Jan 4 Paramonov, Serge V. 4 Robinson, Zachary 4 Rotthaus, Christel 4 Roush, Fred William 4 Sperber, Steven I. 4 Vidaux, Xavier 4 Wan, Daqing 3 Abramovich, Dan 3 Aizenbud, Avraham 3 Avni, Nir 3 Bianconi, Ricardo 3 Binyamini, Gal 3 Bocardo-Gaspar, Miriam 3 Bories, Bart 3 Bourqui, David 3 Cobo Pablos, Helena 3 Comte, Georges 3 Darnière, Luck 3 Edmundo, Mário J. 3 Ein, Lawrence Man Hon ...and 637 more Authors all top 5 Cited in 185 Serials 42 Journal of Algebra 39 Transactions of the American Mathematical Society 35 The Journal of Symbolic Logic 32 Advances in Mathematics 29 Duke Mathematical Journal 27 Proceedings of the American Mathematical Society 26 Mathematische Zeitschrift 26 Annals of Pure and Applied Logic 22 Comptes Rendus. Mathématique. Académie des Sciences, Paris 21 Manuscripta Mathematica 21 Mathematische Annalen 20 Journal of Number Theory 19 Inventiones Mathematicae 18 Annales de l’Institut Fourier 18 Journal of Symbolic Computation 17 Israel Journal of Mathematics 16 Compositio Mathematica 12 Finite Fields and their Applications 12 Selecta Mathematica. New Series 11 Journal of Pure and Applied Algebra 11 Journal of Algebraic Geometry 10 Journal für die Reine und Angewandte Mathematik 10 Nagoya Mathematical Journal 10 Journal of the American Mathematical Society 10 Journal of the European Mathematical Society (JEMS) 9 Mathematical Proceedings of the Cambridge Philosophical Society 9 Bulletin of the American Mathematical Society. New Series 8 Communications in Algebra 8 Archive for Mathematical Logic 8 Annals of Mathematics. Second Series 8 International Journal of Number Theory 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Bulletin de la Société Mathématique de France 6 Journal de Théorie des Nombres de Bordeaux 6 Geometry & Topology 6 Revista Matemática Complutense 5 Monatshefte für Mathematik 5 Programming and Computer Software 5 International Journal of Mathematics 5 Journal of the Institute of Mathematics of Jussieu 4 Mathematics of Computation 4 Geometriae Dedicata 4 Notre Dame Journal of Formal Logic 4 Proceedings of the London Mathematical Society. Third Series 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Tôhoku Mathematical Journal. Second Series 4 Advances in Applied Mathematics 4 Indagationes Mathematicae. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Mathematical Sciences (New York) 4 Mathematical Logic Quarterly (MLQ) 4 The Bulletin of Symbolic Logic 4 Journal of Mathematical Logic 4 Foundations of Computational Mathematics 4 Mathematics in Computer Science 4 Forum of Mathematics, Pi 4 Forum of Mathematics, Sigma 3 Bulletin of the Australian Mathematical Society 3 Acta Mathematica Vietnamica 3 Illinois Journal of Mathematics 3 Journal of Computational and Applied Mathematics 3 Journal of Functional Analysis 3 Journal of the Mathematical Society of Japan 3 Journal of Complexity 3 Advances in Geometry 3 Journal of Algebra and its Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Research in the Mathematical Sciences 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Publications Mathématiques 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Theoretical Computer Science 2 Forum Mathematicum 2 International Journal of Algebra and Computation 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Electronic Research Announcements of the American Mathematical Society 2 Transformation Groups 2 Representation Theory 2 The Ramanujan Journal 2 Acta Mathematica Sinica. English Series 2 Journal of High Energy Physics 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 Algebra & Number Theory 2 Confluentes Mathematici 2 Science China. Mathematics 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Arnold Mathematical Journal 2 European Journal of Mathematics 2 Research in Number Theory 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications ...and 85 more Serials all top 5 Cited in 48 Fields 510 Algebraic geometry (14-XX) 302 Number theory (11-XX) 233 Mathematical logic and foundations (03-XX) 186 Several complex variables and analytic spaces (32-XX) 131 Field theory and polynomials (12-XX) 94 Commutative algebra (13-XX) 55 Group theory and generalizations (20-XX) 35 Computer science (68-XX) 28 Topological groups, Lie groups (22-XX) 26 Global analysis, analysis on manifolds (58-XX) 21 Associative rings and algebras (16-XX) 20 Ordinary differential equations (34-XX) 19 Real functions (26-XX) 17 Combinatorics (05-XX) 16 Convex and discrete geometry (52-XX) 14 Functions of a complex variable (30-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Partial differential equations (35-XX) 13 Algebraic topology (55-XX) 13 Numerical analysis (65-XX) 12 Nonassociative rings and algebras (17-XX) 12 Manifolds and cell complexes (57-XX) 11 Special functions (33-XX) 11 Quantum theory (81-XX) 8 Category theory; homological algebra (18-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Differential geometry (53-XX) 6 Information and communication theory, circuits (94-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Sequences, series, summability (40-XX) 5 Approximations and expansions (41-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 \(K\)-theory (19-XX) 4 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 General topology (54-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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