## Denef, Jan

Compute Distance To:
 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 506 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

66 Publications have been cited 1,542 times in 880 Documents Cited by Year
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
1999
$$p$$-adic and real subanalytic sets. Zbl 0693.14012
Denef, J.; van den Dries, Lou
1988
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
1998
Geometry on arc spaces of algebraic varieties. Zbl 1079.14003
Denef, Jan; Loeser, François
2001
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
1984
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
1986
Euler-Poincaré characteristics, local zeta functions and analytic modifications. (Caractéristiques d’Euler-Poincaré, fonctions zêta locales et modifications analytiques.) Zbl 0777.32017
Denef, J.; Loeser, F.
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
1991
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
1991
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
1987
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
1978
Definable sets, motives and $$p$$-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
2001
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
1984
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
2002
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
1978
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
2002
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
1987
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
2001
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
1975
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
1979
Diophantine sets over algebraic integer rings. II. Zbl 0426.12009
Denef, J.
1980
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
1999
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
1980
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
2004
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
2006
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
1979
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
1991
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
1991
Polyèdre de Newton et distribution $$f^ s_+$$. I. (Newton polyhedra and distributions $$f^ s_+$$. I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
1989
Counting points on $$C_{ab}$$ curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
2006
Poles of $$p$$-adic complex powers and Newton polyhedra. Zbl 0854.11066
Denef, J.
1995
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic $$2$$. Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
2006
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
1993
Exponential sums $$\text{mod }p^n$$ and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
2002
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
1974
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
1989
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, Jan
2000
Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019
Denef, J.; Loeser, F.
1995
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
2002
Newton polyhedron and $$f^ s_ +$$ distribution. II. (Polyèdre de Newton et distribution $$f^ s_ +$$. II.) Zbl 0778.32010
Denef, Jan; Sargos, Patrick
1992
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
1985
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
2005
Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034
2000
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
2013
On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068
Denef, Jan; Veys, Willem
1995
Diophantine sets over $$Z[T]$$. Zbl 0393.03035
Denef, J.
1978
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
1998
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
1998
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
1983
Poles of $$p$$-adic complex powers and Newton polyhedra. Zbl 0591.14016
Denef, Jan
1985
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
1980
On the largest nontrivial pole of the distribution $$| f| ^ s$$. Zbl 1044.11613
Denef, J.; Laeremans, A.; Sargos, P.
1997
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
2002
On the decidability of the existential theory of $$\mathbb{F}_p[[t]]$$. Zbl 1046.12006
Denef, Jan; Schoutens, Hans
2003
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
2016
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
1983
Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036
Denef, J.; Loeser, F.
1994
On the vanishing of principal value integrals. Zbl 1029.11064
Denef, Jan; Jacobs, Philippe
1998
Monomialization of morphisms and $$p$$-adic quantifier elimination. Zbl 1274.14026
Denef, Jan
2013
Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020
Denef, Jan
2019
Macdonald integrals and monodromy. Zbl 1111.32305
Denef, Jan; Loeser, François
2001
On Ax-fields which are $$C_ i$$. Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1983
Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048
Denef, J.; Loeser, F.
1990
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
1988
Orbital integrals for linear groups. Zbl 1135.11065
Cluckers, Raf; Denef, Jan
2008
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1990
Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020
Denef, Jan
2019
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
2016
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
2013
Monomialization of morphisms and $$p$$-adic quantifier elimination. Zbl 1274.14026
Denef, Jan
2013
Orbital integrals for linear groups. Zbl 1135.11065
Cluckers, Raf; Denef, Jan
2008
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
2006
Counting points on $$C_{ab}$$ curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
2006
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic $$2$$. Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
2006
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
2005
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
2004
On the decidability of the existential theory of $$\mathbb{F}_p[[t]]$$. Zbl 1046.12006
Denef, Jan; Schoutens, Hans
2003
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
2002
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
2002
Exponential sums $$\text{mod }p^n$$ and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
2002
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
2002
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
2002
Geometry on arc spaces of algebraic varieties. Zbl 1079.14003
Denef, Jan; Loeser, François
2001
Definable sets, motives and $$p$$-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
2001
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
2001
Macdonald integrals and monodromy. Zbl 1111.32305
Denef, Jan; Loeser, François
2001
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, Jan
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
2000
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
1999
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
1999
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
1998
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
1998
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
1998
On the vanishing of principal value integrals. Zbl 1029.11064
Denef, Jan; Jacobs, Philippe
1998
On the largest nontrivial pole of the distribution $$| f| ^ s$$. Zbl 1044.11613
Denef, J.; Laeremans, A.; Sargos, P.
1997
Poles of $$p$$-adic complex powers and Newton polyhedra. Zbl 0854.11066
Denef, J.
1995
Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019
Denef, J.; Loeser, F.
1995
On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068
Denef, Jan; Veys, Willem
1995
Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036
Denef, J.; Loeser, F.
1994
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
1993
Euler-Poincaré characteristics, local zeta functions and analytic modifications. (Caractéristiques d’Euler-Poincaré, fonctions zêta locales et modifications analytiques.) Zbl 0777.32017
Denef, J.; Loeser, F.
1992
Newton polyhedron and $$f^ s_ +$$ distribution. II. (Polyèdre de Newton et distribution $$f^ s_ +$$. II.) Zbl 0778.32010
Denef, Jan; Sargos, Patrick
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
1991
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
1991
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
1991
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
1991
Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048
Denef, J.; Loeser, F.
1990
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1990
Polyèdre de Newton et distribution $$f^ s_+$$. I. (Newton polyhedra and distributions $$f^ s_+$$. I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
1989
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
1989
$$p$$-adic and real subanalytic sets. Zbl 0693.14012
Denef, J.; van den Dries, Lou
1988
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
1988
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
1987
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
1987
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
1986
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
1985
Poles of $$p$$-adic complex powers and Newton polyhedra. Zbl 0591.14016
Denef, Jan
1985
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
1984
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
1984
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
1983
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
1983
On Ax-fields which are $$C_ i$$. Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1983
Diophantine sets over algebraic integer rings. II. Zbl 0426.12009
Denef, J.
1980
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
1980
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
1980
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
1979
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
1979
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
1978
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
1978
Diophantine sets over $$Z[T]$$. Zbl 0393.03035
Denef, J.
1978
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
1975
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
1974
all top 5

### Cited by 729 Authors

 33 Veys, Willem 31 Cluckers, Raf 20 Loeser, François 20 Shlapentokh, Alexandra 19 Denef, Jan 15 Nicaise, Johannes 15 Zúñiga-Galindo, Wilson A. 14 Sebag, Julien 12 Halupczok, Immanuel 10 Leenknegt, Eva 10 Lipshitz, Leonard 9 de Fernex, Tommaso 9 Raibaut, Michel 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 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 León-Cardenal, Edwin 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 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 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 Takeuchi, Kiyoshi 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 Davison, Ben 3 Edmundo, Mário J. 3 Ein, Lawrence Man Hon ...and 629 more Authors
all top 5

### Cited in 183 Serials

 41 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 25 Mathematische Zeitschrift 25 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 Bulletin of the American Mathematical Society. New Series 8 Communications in Algebra 8 Mathematical Proceedings of the Cambridge Philosophical Society 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 Journal de Théorie des Nombres de Bordeaux 6 Revista Matemática Complutense 5 Monatshefte für Mathematik 5 Programming and Computer Software 5 International Journal of Mathematics 5 Geometry & Topology 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 Bulletin de la Société Mathématique de France 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 83 more Serials
all top 5

### Cited in 48 Fields

 503 Algebraic geometry (14-XX) 300 Number theory (11-XX) 232 Mathematical logic and foundations (03-XX) 182 Several complex variables and analytic spaces (32-XX) 129 Field theory and polynomials (12-XX) 93 Commutative algebra (13-XX) 53 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) 19 Associative rings and algebras (16-XX) 19 Real functions (26-XX) 19 Ordinary differential equations (34-XX) 17 Combinatorics (05-XX) 15 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) 11 Special functions (33-XX) 11 Manifolds and cell complexes (57-XX) 10 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)

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