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Denef, Jan

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Author ID: denef.jan Recent zbMATH articles by "Denef, Jan"
Published as: Denef, J.; Denef, Jan
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Documents Indexed: 67 Publications since 1972, including 1 Book

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Citations contained in zbMATH

65 Publications have been cited 1,374 times in 787 Documents Cited by Year
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
148
1999
\(p\)-adic and real subanalytic sets. Zbl 0693.14012
Denef, J.; van den Dries, Lou
118
1988
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
91
1998
Geometry on arc spaces of algebraic varieties. Zbl 1079.14003
Denef, Jan; Loeser, François
82
2001
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
79
1984
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
51
1986
Euler-Poincaré characteristics, local zeta functions and analytic modifications. Zbl 0777.32017
Denef, J.; Loeser, F.
48
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
45
1991
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
36
1987
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
36
1978
Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
34
2001
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
34
1991
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
29
2002
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
29
1987
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
29
1978
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
28
2002
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
28
1984
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
26
2001
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
26
1979
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
26
1975
Diophantine sets over algebraic integer rings. II. Zbl 0426.12009
Denef, J.
22
1980
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
18
1999
Computing zeta functions of nondegenerate curves. Zbl 1161.14302
Castryck, W.; Denef, J.; Vercauteren, F.
17
2006
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
17
2004
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
16
1980
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
16
1979
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
15
1991
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
13
2006
Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
13
1989
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
12
2006
Poles of \(p\)-adic complex powers and Newton polyhedra. Zbl 0854.11066
Denef, J.
12
1995
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
11
1991
Decision problems for differential equations. Zbl 0683.03039
Denef, J.; Lipshitz, L.
11
1989
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
11
1974
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
10
2002
Regular elements and monodromy of discriminants of finite reflection groups. Zbl 0832.32019
Denef, J.; Loeser, F.
10
1995
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
9
2002
Newton polyhedron and \(f^ s_ +\) distribution. II. Zbl 0778.32010
Denef, Jan; Sargos, Patrick
9
1992
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
8
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
Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.)
8
2000
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, Jan
8
2000
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
8
1993
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
8
1985
On the holomorphy conjecture for Igusa’s local zeta function. Zbl 0851.11068
Denef, Jan; Veys, Willem
6
1995
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
5
2013
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
5
1998
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
5
1998
Smoothing of a ring homomorphism along a section. Zbl 0555.14002
Artin, M.; Denef, J.
5
1983
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
5
1980
Diophantine sets over \(Z[T]\). Zbl 0393.03035
Denef, J.
5
1978
An extension of Kedlaya’s algorithm to Artin-Schreier curves in characteristic 2. Zbl 1058.11040
Denef, Jan; Vercauteren, Frederik
4
2002
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 0591.14016
Denef, Jan
4
1985
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
3
2016
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
3
2003
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
2
2013
On the vanishing of principal value integrals. Zbl 1029.11064
Denef, Jan; Jacobs, Philippe
2
1998
Geometric determination of Selberg-Evans sums. Zbl 0828.14036
Denef, J.; Loeser, F.
2
1994
Orbital integrals for linear groups. Zbl 1135.11065
Cluckers, Raf; Denef, Jan
1
2008
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
Newton polyhedra and weight of exponential sums. Zbl 0764.11048
Denef, J.; Loeser, F.
1
1990
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
1
1988
On Ax-fields which are \(C_ i\). Zbl 0519.12015
Denef, Jan; Jarden, Moshe; Lewis, D. J.
1
1983
Geometric proofs of theorems of Ax-Kochen and Eršov. Zbl 1350.11048
Denef, Jan
3
2016
Weak toroidalization over non-closed fields. Zbl 1279.14020
Abramovich, Dan; Denef, Jan; Karu, Kalle
5
2013
Monomialization of morphisms and \(p\)-adic quantifier elimination. Zbl 1274.14026
Denef, Jan
2
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.
17
2006
Counting points on \(C_{ab}\) curves using Monsky-Washnitzer cohomology. Zbl 1104.11032
Denef, Jan; Vercauteren, Frederik
13
2006
An extension of Kedlaya’s algorithm to hyperelliptic curves in characteristic \(2\). Zbl 1100.14017
Denef, Jan; Vercauteren, Frederik
12
2006
Oscillating integrals and Newton polyhedra. Zbl 1093.14006
Denef, Jan; Nicaise, Johannes; Sargos, Patrick
8
2005
On some rational generating series occuring in arithmetic geometry. Zbl 1061.11067
Denef, Jan; Loeser, François
17
2004
On the decidability of the existential theory of \(\mathbb{F}_p[[t]]\). Zbl 1046.12006
Denef, Jan; Schoutens, Hans
3
2003
Lefschetz numbers of iterates of the monodromy and truncated arcs. Zbl 1054.14003
Denef, Jan; Loeser, François
29
2002
Motivic integration, quotient singularities and the McKay correspondence. Zbl 1080.14001
Denef, Jan; Loeser, François
28
2002
Motivic integration and the Grothendieck group of pseudo-finite fields. Zbl 1101.14029
Denef, J.; Loeser, F.
10
2002
Exponential sums \(\text{mod }p^n\) and Newton polyhedra. Zbl 1046.11057
Denef, J.; Sperber, S.
9
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
82
2001
Definable sets, motives and \(p\)-adic integrals. Zbl 1040.14010
Denef, Jan; Loeser, François
34
2001
Newton polyhedra and Igusa’s local zeta function. Zbl 0994.11038
Denef, Jan; Hoornaert, Kathleen
26
2001
Macdonald integrals and monodromy. Zbl 1111.32305
Denef, Jan; Loeser, François
1
2001
Hilbert’s tenth problem: relations with arithmetic and algebraic geometry. Proceedings of the workshop, Ghent University, Belgium, November 2–5, 1999. Zbl 0955.00034
Denef, Jan (ed.); Lipshitz, Leonard (ed.); Pheidas, Thanases (ed.); Van Geel, Jan (ed.)
8
2000
Arithmetic and geometric applications of quantifier elimination for valued fields. Zbl 0981.03041
Denef, Jan
8
2000
Germs of arcs on singular algebraic varieties and motivic integration. Zbl 0928.14004
Denef, Jan; Loeser, François
148
1999
Motivic exponential integrals and a motivic Thom-Sebastiani theorem. Zbl 0966.14015
Denef, Jan; Loeser, François
18
1999
Motivic Igusa zeta functions. Zbl 0943.14010
Denef, Jan; Loeser, François
91
1998
Character sums associated to finite Coxeter groups. Zbl 0957.11051
Denef, Jan; Loeser, François
5
1998
Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086
Denef, Jan; Gyoja, Akihiko
5
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
6
1995
Geometric determination of Selberg-Evans sums. Zbl 0828.14036
Denef, J.; Loeser, F.
2
1994
Degree of local zeta functions and monodromy. Zbl 0932.11073
Denef, J.
8
1993
Euler-Poincaré characteristics, local zeta functions and analytic modifications. Zbl 0777.32017
Denef, J.; Loeser, F.
48
1992
Newton polyhedron and \(f^ s_ +\) distribution. II. Zbl 0778.32010
Denef, Jan; Sargos, Patrick
9
1992
Report on Igusa’s local zeta function. Zbl 0749.11054
Denef, Jan
45
1991
Weights of exponential sums, intersection cohomology, and Newton polyhedra. Zbl 0763.14025
Denef, J.; Loeser, F.
34
1991
A functional equation of Igusa’s zeta function. Zbl 0749.11053
Denef, Jan; Meuser, Diane
15
1991
Local zeta functions and Euler characteristics. Zbl 0738.11060
Denef, J.
11
1991
Global approximation in dimension two. Zbl 0707.13003
Denef, Jan; Harbater, David
1
1990
Newton polyhedra and weight of exponential sums. Zbl 0764.11048
Denef, J.; Loeser, F.
1
1990
Polyèdre de Newton et distribution \(f^ s_+\). I. (Newton polyhedra and distributions \(f^ s_+\). I.). Zbl 0693.32003
Denef, Jan; Sargos, Patrick
13
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
118
1988
Multiplicity of the poles of the Poincaré series of a p-adic subanalytic set. Zbl 0682.12013
Denef, J.
1
1988
On the degree of Igusa’s local zeta function. Zbl 0659.14017
Denef, J.
36
1987
Algebraic power series and diagonals. Zbl 0609.12020
Denef, J.; Lipshitz, L.
29
1987
p-adic semi-algbraic sets and cell decomposition. Zbl 0584.12015
Denef, Jan
51
1986
On the evaluation of certain p-adic integrals. Zbl 0597.12021
Denef, J.
8
1985
Poles of p-adic complex powers and Newton polyhedra. Zbl 0591.14016
Denef, Jan
4
1985
The rationality of the Poincaré series associated to the p-adic points on a variety. Zbl 0537.12011
Denef, J.
79
1984
Power series solutions of algebraic differential equations. Zbl 0518.12015
Denef, J.; Lipshitz, L.
28
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.
22
1980
Ultraproducts and approximation in local rings. II. Zbl 0426.13010
Denef, J.; Lipshitz, L.
16
1980
Further remarks on the elementary theory of formal power series rings. Zbl 0452.12013
Becker, J.; Denef, J.; Lipshitz, L.
5
1980
Ultraproducts and approximation in local rings. I. Zbl 0416.13004
Becker, Joseph; Denef, J.; Lipshitz, L.; Van den Dries, Lou
26
1979
The Diophantine problem for polynomial rings of positive characteristic. Zbl 0457.12011
Denef, J.
16
1979
The Diophantine problem for polynomial rings and fields of rational functions. Zbl 0399.10048
Denef, J.
36
1978
Diophantine sets over some rings of algebraic integers. Zbl 0399.10049
Denef, J.; Lipshitz, L.
29
1978
Diophantine sets over \(Z[T]\). Zbl 0393.03035
Denef, J.
5
1978
Hilbert’s tenth problem for quadratic rings. Zbl 0324.02032
Denef, J.
26
1975
The asymptotic behaviour of solutions of difference equations of Poincaré’s type. Zbl 0291.39003
Denef, J.; Piessens, R.
11
1974
all top 5

Cited by 655 Authors

29 Veys, Willem
28 Cluckers, Raf
20 Loeser, François
20 Shlapentokh, Alexandra
19 Denef, Jan
15 Nicaise, Johannes
14 Zúñiga-Galindo, Wilson A.
12 Sebag, Julien
10 Leenknegt, Eva
10 Lipshitz, Leonard
9 Halupczok, Immanuel
8 de Fernex, Tommaso
8 Gusein-Zade, Sabir M.
8 Kaiser, Tobias
8 Pheidas, Thanases
8 Schoutens, Hans
7 Lemahieu, Ann
7 Pasten, Hector V.
7 Popescu, Dorin
7 Raibaut, Michel
7 Segers, Dirk
7 van den Dries, Lou
7 Voll, Christopher
6 Bélair, Luc
6 Fichou, Goulwen
6 Haskell, Deirdre
6 Kollár, János
6 Lê, Quy Thuong
6 Mustaţă, Mircea
6 Piessens, Robert
6 Rond, Guillaume
6 Rossmann, Tobias
6 Stapledon, Alan
6 Van Proeyen, Lise
5 Branders, Maria
5 Campillo, Antonio
5 Cubides Kovacsics, Pablo
5 Delgado, Felix
5 Docampo, Roi
5 du Sautoy, Marcus P. F.
5 Eisenträger, Kirsten
5 Hales, Thomas Callister
5 Hubrechts, Hendrik
5 Ishii, Shihoko
5 Kapranov, Mikhail M.
5 León-Cardenal, Edwin
5 Macpherson, Dugald
5 Maxim, Laurentiu G.
5 Melle-Hernández, Alejandro
5 van der Hoeven, Joris
5 Vasserot, Eric
5 Villa, Manuel González
5 Yasuda, Takehiko
4 Allouche, Jean-Paul Simon
4 Aschenbrenner, Matthias
4 Castryck, Wouter
4 Çelikler, Y. Firat
4 Demeyer, Jeroen
4 Kamimoto, Joe
4 Kim, Ki Hang
4 Klopsch, Benjamin
4 Libgober, Anatoly S.
4 Macintyre, Angus John
4 Miller, Chris
4 Mourtada, Hussein
4 Myasnikov, Alexei G.
4 Nguyen, Kien Huu
4 Nose, Toshihiro
4 Reguera, Ana-José
4 Robinson, Zachary
4 Rotthaus, Christel
4 Roush, Fred William
4 Saito, Morihiko
4 Sperber, Steven I.
4 Vidaux, Xavier
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 Budur, Nero
3 Campesato, Jean-Baptiste
3 Cassou-Noguès, Pierrette
3 Comte, Georges
3 Darnière, Luck
3 Davison, Ben
3 Edmundo, Mário J.
3 Ein, Lawrence Man Hon
3 González Pérez, Pedro Daniel
3 Gordon, Julia
3 Ibadula, Denis
3 Jun, Byungheup
3 Kharlampovich, Olga G.
3 Kowalski, Piotr
3 Le Gal, Olivier
3 Lee, Jungyun
3 Luengo, Ignacio
...and 555 more Authors
all top 5

Cited in 165 Serials

42 Journal of Algebra
37 Transactions of the American Mathematical Society
31 The Journal of Symbolic Logic
29 Advances in Mathematics
27 Duke Mathematical Journal
25 Proceedings of the American Mathematical Society
24 Annals of Pure and Applied Logic
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Manuscripta Mathematica
20 Journal of Number Theory
20 Mathematische Annalen
20 Mathematische Zeitschrift
19 Inventiones Mathematicae
16 Israel Journal of Mathematics
15 Annales de l’Institut Fourier
15 Compositio Mathematica
15 Journal of Symbolic Computation
11 Journal of Algebraic Geometry
11 Finite Fields and their Applications
11 Selecta Mathematica. New Series
10 Journal of Pure and Applied Algebra
10 Journal of the American Mathematical Society
9 Nagoya Mathematical Journal
9 Bulletin of the American Mathematical Society. New Series
8 Communications in Algebra
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Journal für die Reine und Angewandte Mathematik
8 Archive for Mathematical Logic
8 Annals of Mathematics. Second Series
8 Journal of the European Mathematical Society (JEMS)
8 International Journal of Number Theory
6 Journal de Théorie des Nombres de Bordeaux
6 Revista Matemática Complutense
5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
5 Monatshefte für Mathematik
5 International Journal of Mathematics
5 Geometry & Topology
4 Mathematics of Computation
4 Geometriae Dedicata
4 Proceedings of the London Mathematical Society. Third Series
4 Programming and Computer Software
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Tohoku Mathematical Journal. Second Series
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 Foundations of Computational Mathematics
4 Journal of the Institute of Mathematics of Jussieu
3 Bulletin of the Australian Mathematical Society
3 Acta Mathematica Vietnamica
3 Journal of Computational and Applied Mathematics
3 Journal of the Mathematical Society of Japan
3 Notre Dame Journal of Formal Logic
3 Journal of Complexity
3 Journal of Mathematical Logic
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 Illinois Journal of Mathematics
2 Publications Mathématiques
2 Journal of Functional Analysis
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Advances in Applied Mathematics
2 Forum Mathematicum
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 Advances in Geometry
2 BIT. Nordisk Tidskrift for Informationsbehandling
2 Mathematics in Computer Science
2 Algebra & Number Theory
2 Confluentes Mathematici
2 Forum of Mathematics, Pi
1 American Mathematical Monthly
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Information Processing Letters
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 The Mathematical Intelligencer
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Algebra and Logic
1 BIT
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
...and 65 more Serials
all top 5

Cited in 47 Fields

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

Citations by Year

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