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Author ID: denef.jan Recent zbMATH articles by "Denef, Jan"
Published as: Denef, Jan; Denef, J.
Homepage: https://wis.kuleuven.be/algebra/publications/denef-jan
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Publications by Year

Citations contained in zbMATH Open

67 Publications have been cited 1,767 times in 987 Documents Cited by Year
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
181
1999
\(p\)-adic and real subanalytic sets. Zbl 0693.14012
Denef, J.; van den Dries, Lou
134
1988
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
119
1998
Geometry on arc spaces of algebraic varieties. Zbl 1079.14003
Denef, Jan; Loeser, François
116
2001
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
92
1984
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.
66
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
64
1991
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
61
1986
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
48
1991
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
47
1987
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
43
1978
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
43
2002
Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
43
2001
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
39
1978
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
39
2002
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
38
1984
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
36
1987
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
35
2001
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
34
1975
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
33
1979
Diophantine sets over algebraic integer rings. II. Zbl 0426.12009
Denef, J.
29
1980
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
28
1999
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
28
1979
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
24
2006
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
19
2004
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
19
1980
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
17
1991
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
17
2006
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
15
1991
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
15
2006
Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
15
1989
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
14
1985
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
13
1993
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
12
2002
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
12
2002
Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0854.11066
Denef, J.
12
1995
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
12
1974
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
11
1989
Newton polyhedron and \(f^ s_ +\) distribution. II. (Polyèdre de Newton et distribution \(f^ s_ +\). II.) Zbl 0778.32010
Denef, Jan; Sargos, Patrick
10
1992
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
10
2005
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, 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
10
2000
Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019
Denef, J.; Loeser, F.
10
1995
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
10
2013
On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068
Denef, Jan; Veys, Willem
8
1995
Diophantine sets over \(Z[T]\). Zbl 0393.03035
Denef, J.
7
1978
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
7
1998
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
6
1998
Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0591.14016
Denef, Jan
6
1985
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
6
2003
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
6
1980
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
5
2016
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
5
1983
On the largest nontrivial pole of the distribution \(| f| ^ s\). Zbl 1044.11613
Denef, J.; Laeremans, A.; Sargos, P.
4
1997
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
4
2002
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
3
1983
Monomialization of morphisms and \(p\)-adic quantifier elimination. Zbl 1274.14026
Denef, Jan
3
2013
On the vanishing of principal value integrals. Zbl 1029.11064
Denef, Jan; Jacobs, Philippe
2
1998
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
2
1988
Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036
Denef, J.; Loeser, F.
2
1994
Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020
Denef, Jan
2
2019
Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048
Denef, J.; Loeser, F.
1
1990
Macdonald integrals and monodromy. Zbl 1111.32305
Denef, Jan; Loeser, François
1
2001
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1
1990
Orbital integrals for linear groups. Zbl 1135.11065
Cluckers, Raf; Denef, Jan
1
2008
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Iterationsformeln höherer Ordnung zur Berechnung von Nullstellen spezieller Funktionen. Zbl 0255.65028
Piessens, R.; Denef, J.
1
1972
Proof of a conjecture of Colliot-Thélène and a Diophantine excision theorem. Zbl 1432.14020
Denef, Jan
2
2019
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
5
2016
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
10
2013
Monomialization of morphisms and \(p\)-adic quantifier elimination. Zbl 1274.14026
Denef, Jan
3
2013
Orbital integrals for linear groups. Zbl 1135.11065
Cluckers, Raf; Denef, Jan
1
2008
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
24
2006
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
17
2006
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
15
2006
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
10
2005
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
19
2004
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
6
2003
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
43
2002
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
39
2002
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
12
2002
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
12
2002
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
4
2002
Geometry on arc spaces of algebraic varieties. Zbl 1079.14003
Denef, Jan; Loeser, François
116
2001
Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
43
2001
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
35
2001
Macdonald integrals and monodromy. Zbl 1111.32305
Denef, Jan; Loeser, François
1
2001
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, 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
10
2000
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
181
1999
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
28
1999
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
119
1998
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
7
1998
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
6
1998
On the vanishing of principal value integrals. Zbl 1029.11064
Denef, Jan; Jacobs, Philippe
2
1998
On the largest nontrivial pole of the distribution \(| f| ^ s\). Zbl 1044.11613
Denef, J.; Laeremans, A.; Sargos, P.
4
1997
Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0854.11066
Denef, J.
12
1995
Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019
Denef, J.; Loeser, F.
10
1995
On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068
Denef, Jan; Veys, Willem
8
1995
Geometric determination of Selberg-Evans sums. (Détermination géométrique des sommes de Selberg-Evans.) Zbl 0828.14036
Denef, J.; Loeser, F.
2
1994
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
13
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.
66
1992
Newton polyhedron and \(f^ s_ +\) distribution. II. (Polyèdre de Newton et distribution \(f^ s_ +\). II.) Zbl 0778.32010
Denef, Jan; Sargos, Patrick
10
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
64
1991
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
48
1991
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
17
1991
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
15
1991
Newton polyhedra and weight of exponential sums. (Polyèdres de Newton et poids de sommes exponentielles.) Zbl 0764.11048
Denef, J.; Loeser, F.
1
1990
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1
1990
Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
15
1989
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
11
1989
\(p\)-adic and real subanalytic sets. Zbl 0693.14012
Denef, J.; van den Dries, Lou
134
1988
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
2
1988
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
47
1987
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
36
1987
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
61
1986
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
14
1985
Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0591.14016
Denef, Jan
6
1985
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
92
1984
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
38
1984
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
5
1983
The approximation property for some 5-dimensional Henselian rings. Zbl 0531.14004
Becker, Joseph; Denef, J.; Lipshitz, L.
3
1983
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Diophantine sets over algebraic integer rings. II. Zbl 0426.12009
Denef, J.
29
1980
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
19
1980
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
6
1980
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
33
1979
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
28
1979
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
43
1978
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
39
1978
Diophantine sets over \(Z[T]\). Zbl 0393.03035
Denef, J.
7
1978
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
34
1975
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
12
1974
Iterationsformeln höherer Ordnung zur Berechnung von Nullstellen spezieller Funktionen. Zbl 0255.65028
Piessens, R.; Denef, J.
1
1972
all top 5

Cited by 832 Authors

34 Cluckers, Raf
34 Veys, Willem
22 Shlapentokh, Alexandra
21 Loeser, François
19 Denef, Jan
16 Zúñiga-Galindo, Wilson A.
15 Nicaise, Johannes
15 Sebag, Julien
12 Halupczok, Immanuel
10 Leenknegt, Eva
10 Lipshitz, Leonard
10 Raibaut, Michel
9 de Fernex, Tommaso
9 Kaiser, Tobias
9 Lê, Quy Thuong
9 Pasten, Hector V.
9 Voll, Christopher
8 Fichou, Goulwen
8 Gusein-Zade, Sabir M.
8 Lemahieu, Ann
8 Pheidas, Thanases
8 Reguera, Ana-José
8 Schoutens, Hans
8 Takeuchi, Kiyoshi
8 van den Dries, Lou
8 Yasuda, Takehiko
7 Cubides Kovacsics, Pablo
7 Haskell, Deirdre
7 León-Cardenal, Edwin
7 Mustaţă, Mircea
7 Popescu, Dorin
7 Rond, Guillaume
7 Segers, Dirk
7 Stapledon, Alan
6 Bélair, Luc
6 Budur, Nero
6 Davison, Ben
6 Docampo, Roi
6 Falkensteiner, Sebastian
6 Hubrechts, Hendrik
6 Kollár, János
6 Macintyre, Angus John
6 Macpherson, Dugald
6 Mourtada, Hussein
6 Myasnikov, Alexei G.
6 Nguyen, Kien Huu
6 Piessens, Robert
6 Rossmann, Tobias
6 Saito, Morihiko
6 Van Proeyen, Lise
6 Villa, Manuel González
6 Wan, Daqing
5 Aschenbrenner, Matthias
5 Branders, Maria
5 Campillo, Antonio
5 Castryck, Wouter
5 Delgado, Felix
5 du Sautoy, Marcus P. F.
5 Eisenträger, Kirsten
5 Fernández de Bobadilla, Javier
5 Hales, Thomas Callister
5 Ishii, Shihoko
5 Kamimoto, Joe
5 Kapranov, Mikhail M.
5 Maxim, Laurentiu G.
5 Melle-Hernández, Alejandro
5 Miller, Chris
5 Ricolfi, Andrea T.
5 van der Hoeven, Joris
5 Vasserot, Eric
5 Vidaux, Xavier
4 Allouche, Jean-Paul Simon
4 Campesato, Jean-Baptiste
4 Cassou-Noguès, Pierrette
4 Çelikler, Y. Firat
4 Demeyer, Jeroen
4 Glazer, Itay
4 Gordon, Julia
4 Kim, Ki Hang
4 Klopsch, Benjamin
4 Libgober, Anatoly S.
4 Meinhardt, Sven
4 Moyano Fernández, Julio José
4 Nose, Toshihiro
4 Nowak, Krzysztof Jan
4 Núñez-Betancourt, Luis
4 Paramonov, Serge V.
4 Payne, Sam
4 Robinson, Zachary
4 Rolin, Jean-Philippe
4 Rotthaus, Christel
4 Roush, Fred William
4 Saxena, Nitin
4 Sperber, Steven I.
4 Usatine, Jeremy
3 Abramovich, Dan
3 Aizenbud, Avraham
3 Àlvarez Montaner, Josep
3 Avni, Nir
3 Bianconi, Ricardo
...and 732 more Authors
all top 5

Cited in 194 Serials

44 Journal of Algebra
40 Transactions of the American Mathematical Society
36 The Journal of Symbolic Logic
35 Advances in Mathematics
29 Duke Mathematical Journal
28 Proceedings of the American Mathematical Society
27 Mathematische Zeitschrift
27 Annals of Pure and Applied Logic
23 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Journal of Number Theory
22 Manuscripta Mathematica
21 Inventiones Mathematicae
21 Mathematische Annalen
19 Annales de l’Institut Fourier
18 Journal of Symbolic Computation
17 Israel Journal of Mathematics
16 Compositio Mathematica
13 Selecta Mathematica. New Series
12 Finite Fields and their Applications
11 Journal of Pure and Applied Algebra
11 Nagoya Mathematical Journal
11 Journal of Algebraic Geometry
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Journal für die Reine und Angewandte Mathematik
10 Journal of the American Mathematical Society
10 Journal of the European Mathematical Society (JEMS)
10 International Journal of Number Theory
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 Journal of the Institute of Mathematics of Jussieu
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Bulletin de la Société Mathématique de France
7 Proceedings of the London Mathematical Society. Third Series
7 Revista Matemática Complutense
7 Algebra & Number Theory
6 Journal de Théorie des Nombres de Bordeaux
6 Geometry & Topology
5 Monatshefte für Mathematik
5 Programming and Computer Software
5 International Journal of Mathematics
5 Mathematical Logic Quarterly (MLQ)
5 Foundations of Computational Mathematics
4 Bulletin of the Australian Mathematical Society
4 Mathematics of Computation
4 Bulletin of the London Mathematical Society
4 Geometriae Dedicata
4 Illinois Journal of Mathematics
4 Journal of Computational and Applied Mathematics
4 Journal of Functional Analysis
4 Journal of the London Mathematical Society. Second Series
4 Notre Dame Journal of Formal Logic
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 The Bulletin of Symbolic Logic
4 Journal of Mathematical Logic
4 Advances in Geometry
4 Mathematics in Computer Science
4 Forum of Mathematics, Pi
4 Forum of Mathematics, Sigma
3 Mathematical Notes
3 Acta Mathematica Vietnamica
3 Journal of the Mathematical Society of Japan
3 Memoirs of the American Mathematical Society
3 Osaka Journal of Mathematics
3 Journal of Complexity
3 Acta Mathematica Sinica. English Series
3 Journal of Algebra and its Applications
3 Proceedings of the Steklov Institute of Mathematics
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Research in the Mathematical Sciences
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 Archiv der Mathematik
2 Glasgow Mathematical Journal
2 Publications Mathématiques
2 Journal of Differential Geometry
2 Mathematische Nachrichten
2 Michigan Mathematical Journal
2 Pacific Journal of Mathematics
2 Proceedings of the Edinburgh Mathematical Society. Series II
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 The Journal of Fourier Analysis and Applications
2 Séminaire Lotharingien de Combinatoire
2 Transformation Groups
2 Representation Theory
2 The Ramanujan Journal
2 Communications in Contemporary Mathematics
...and 94 more Serials
all top 5

Cited in 49 Fields

573 Algebraic geometry (14-XX)
342 Number theory (11-XX)
255 Mathematical logic and foundations (03-XX)
210 Several complex variables and analytic spaces (32-XX)
139 Field theory and polynomials (12-XX)
105 Commutative algebra (13-XX)
60 Group theory and generalizations (20-XX)
36 Computer science (68-XX)
30 Global analysis, analysis on manifolds (58-XX)
29 Topological groups, Lie groups (22-XX)
26 Combinatorics (05-XX)
24 Real functions (26-XX)
22 Ordinary differential equations (34-XX)
21 Associative rings and algebras (16-XX)
19 Convex and discrete geometry (52-XX)
15 Functions of a complex variable (30-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
15 Algebraic topology (55-XX)
15 Numerical analysis (65-XX)
13 Partial differential equations (35-XX)
13 Manifolds and cell complexes (57-XX)
12 Nonassociative rings and algebras (17-XX)
12 Special functions (33-XX)
12 Differential geometry (53-XX)
12 Quantum theory (81-XX)
9 Category theory; homological algebra (18-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 History and biography (01-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Sequences, series, summability (40-XX)
5 Approximations and expansions (41-XX)
4 \(K\)-theory (19-XX)
4 Difference and functional equations (39-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Abstract harmonic analysis (43-XX)
3 Functional analysis (46-XX)
3 Operator theory (47-XX)
3 General topology (54-XX)
3 Operations research, mathematical programming (90-XX)
2 Measure and integration (28-XX)
2 Probability theory and stochastic processes (60-XX)
2 Relativity and gravitational theory (83-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)

Citations by Year

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