×

Katz, Nicholas Michael

Compute Distance To:
Author ID: katz.nicholas-m Recent zbMATH articles by "Katz, Nicholas Michael"
Published as: Katz, Nicholas M.; Katz, N. M.; Katz, Nicholas; Katz, N.
Further Spellings: Кац Николас М
Homepage: https://web.math.princeton.edu/~nmk/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
all top 5

Serials

10 IMRN. International Mathematics Research Notices
10 Finite Fields and their Applications
7 Annals of Mathematics Studies
6 Inventiones Mathematicae
4 American Journal of Mathematics
4 Publications Mathématiques
4 Mathematische Annalen
4 L’Enseignement Mathématique. 2e Série
4 Experimental Mathematics
3 Journal für die Reine und Angewandte Mathematik
3 Forum Mathematicum
3 Bulletin of the American Mathematical Society. New Series
3 Notices of the American Mathematical Society
3 Progress in Mathematics
3 Modern Birkhäuser Classics
2 Advances in Mathematics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Duke Mathematical Journal
2 Mathematika
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Annals of Mathematics. Second Series
1 Israel Journal of Mathematics
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Journal of Algebra
1 Journal of the Faculty of Science. Section I A
1 Journal of Mathematics of Kyoto University
1 Journal of Number Theory
1 Mathematische Zeitschrift
1 Proceedings of the London Mathematical Society. Third Series
1 Transactions of the American Mathematical Society
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Mathematical Research Letters
1 Journal of the European Mathematical Society (JEMS)
1 Moscow Mathematical Journal
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Astérisque
1 Colloquium Publications. American Mathematical Society
1 Lecture Notes in Mathematics
1 Communications in Number Theory and Physics
1 Cambridge Journal of Mathematics
1 Philosophical Transactions A. Royal Society of London
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

133 Publications have been cited 3,084 times in 2,081 Documents Cited by Year
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
251
1985
Random matrices, Frobenius eigenvalues, and monodromy. Zbl 0958.11004
Katz, Nicholas M.; Sarnak, Peter
215
1999
Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin. Zbl 0221.14007
Katz, Nicholas M.
200
1970
Gauss sums, Kloosterman sums, and monodromy groups. Zbl 0675.14004
Katz, Nicholas M.
157
1988
Exponential sums and differential equations. Zbl 0731.14008
Katz, Nicholas M.
129
1990
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
124
1999
\(p\)-adic interpolation of real analytic Eisenstein series. Zbl 0354.14007
Katz, Nicholas M.
114
1976
Some consequences of the Riemann hypothesis for varieties over finite fields. Zbl 0275.14011
Katz, Nicholas M.; Messing, William
109
1974
\(p\)-adic \(L\)-functions for CM fields. Zbl 0417.12003
Katz, Nicholas M.
104
1978
Rigid local systems. Zbl 0864.14013
Katz, Nicholas M.
92
1996
\(p\)-adic properties of modular schemes and modular forms. Zbl 0271.10033
Katz, Nicholas M.
86
1973
Algebraic solutions of differential equations (p-curvature and the Hodge filtration). Zbl 0278.14004
Katz, Nicholas M.
80
1972
Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz. Zbl 1213.14020
Hausel, Tamás; Rodriguez-Villegas, Fernando
73
2008
On the differentiation of De Rham cohomology classes with respect to parameters. Zbl 0165.54802
Katz, N. M.; Oda, T.
69
1968
Slope filtration of F-crystals. Zbl 0426.14007
Katz, Nicholas M.
69
1979
On a theorem of Ax. Zbl 0237.12012
Katz, Nicholas M.
60
1971
Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.). Zbl 0603.14015
Katz, Nicholas M.; Laumon, Gérard
52
1985
Galois properties of torsion points on abelian varieties. Zbl 0471.14023
Katz, Nicholas M.
51
1981
On the calculation of some differential Galois groups. Zbl 0609.12025
Katz, Nicholas M.
47
1987
Serre-Tate local moduli. Zbl 0477.14007
Katz, N.
46
1981
Local-to-global extensions of representations of fundamental groups. Zbl 0564.14013
Katz, Nicholas M.
44
1986
Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet). Zbl 0495.14011
Katz, Nicholas M.; Lang, Serge
38
1981
Séminaire de géométrie algébrique du Bois-Marie 1967–1969. Groupes de monodromie en géométrie algébrique (SGA 7 II) par P. Deligne et N. Katz. Exposés X à XXII. Zbl 0258.00005
35
1973
Higher congruences between modular forms. Zbl 0356.10020
Katz, Nicholas M.
34
1975
The Eisenstein measure and p-adic interpolation. Zbl 0375.12022
Katz, Nicholas M.
27
1977
On the monodromy groups attached to certain families of exponential sums. Zbl 0643.12004
Katz, Nicholas M.
26
1987
A conjecture in the arithmetic theory of differential equations. Zbl 0504.12022
Katz, Nicholas M.
26
1982
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
25
2001
Travaux de Dwork. Zbl 0259.14007
Katz, Nicholas
24
1973
Estimates for Soto-Andrade sums. Zbl 0798.11053
Katz, Nicholas M.
23
1993
Sommes de Kloosterman et courbes elliptiques universelles en caractéristiques 2 et 3. (Kloosterman sums and universal elliptic curves in characteristics 2 and 3). Zbl 0701.14033
Katz, Nicholas; Livné, Ron
22
1989
Moments, monodromy, and perversity. A Diophantine perspective. Zbl 1079.14025
Katz, Nicholas M.
21
2005
On the differential equations satisfied by period matrices. Zbl 0159.22502
Katz, N. M.
21
1968
An estimate for character sums. Zbl 0672.10026
Katz, Nicholas M.
20
1989
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
20
2004
Sommes exponentielles. Cours à Orsay, automne 1979. Redige par Gerard Laumon, preface par Luc Illusie. Zbl 0469.12007
Katz, Nicholas M.
19
1980
A general stratification theorem for exponential sums, and applications. Zbl 0986.11054
Fouvry, E.; Katz, N.
18
2001
Estimates for “singular” exponential sums. Zbl 0991.11064
Katz, Nicholas M.
18
1999
A simple algorithm for cyclic vectors. Zbl 0621.13003
Katz, Nicholas M.
15
1987
Estimates for nonsingular multiplicative character sums. Zbl 1028.11075
Katz, Nicholas M.
15
2002
Divisibilities, congruences, and Cartier duality. Zbl 0559.14032
Katz, Nicholas M.
14
1981
Convolution and equidistribution. Sato-Tate theorems for finite-field Mellin transforms. Zbl 1261.11084
Katz, Nicholas M.
14
2012
An overview of Deligne’s work on Hilbert’s twenty-first problem. Zbl 0347.14010
Katz, Nicholas M.
14
1976
Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. Zbl 0727.11057
Katz, Nicholas M.
13
1990
Space filling curves over finite fields. Zbl 1016.11022
Katz, Nicholas M.
12
2001
Pinceaux de Lefschetz: Théoreme d’existence. Zbl 0284.14006
Katz, N. M.
12
1973
Another look at the Dwork family. Zbl 1195.14015
Katz, Nicholas M.
12
2009
Witt vectors and a question of Keating and Rudnick. Zbl 1328.13028
Katz, Nicholas M.
12
2013
The divisor function over arithmetic progressions. With Appendix by Nicholas Katz. Zbl 0764.11040
Fouvry, Etienne; Iwaniec, Henryk
11
1992
Travaux de Laumon. (Works of Laumon). Zbl 0698.14014
Katz, Nicholas M.
11
1988
Perversity and exponential sums. Zbl 0755.14008
Katz, Nicholas M.
10
1989
Formal groups and p-adic interpolation. Zbl 0351.14024
Katz, Nicholas M.
10
1977
\(L\)-functions and monodromy: four lectures on Weil II. Zbl 1016.14011
Katz, Nicholas M.
10
2001
Another look at \(p\)-adic \(L\)-functions for totally real fields. Zbl 0497.14006
Katz, Nicholas M.
10
1981
Twisted \(L\)-functions and monodromy. Zbl 1029.14005
Katz, Nicholas M.
10
2002
Affine cohomological transforms, perversity, and monodromy. Appendix (d’après Deligne). Zbl 0815.14011
Katz, Nicholas M.
9
1993
Factoring polynomials in finite fields: An application of Lang-Weil to a problem in graph theory. Zbl 0708.05029
Katz, Nicholas M.
9
1990
Étude cohomologique des pinceaux de Lefschetz. Zbl 0284.14007
Katz, N.
9
1973
The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers. Zbl 0303.10028
Katz, Nicholas M.
9
1975
p-adic L-functions via moduli of elliptic curves. Zbl 0317.14009
Katz, Nicholas M.
9
1975
Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Zbl 1023.11031
Katz, Nicholas M.
8
2001
Review of \(\ell\)-adic cohomology. Zbl 0817.14006
Katz, Nicholas M.
8
1994
Notes on \(G_{2}\), determinants, and equidistribution. Zbl 1065.11060
Katz, Nicholas M.
8
2004
Larsen’s alternative, moments, and the monodromy of Lefschetz pencils. Zbl 1081.14015
Katz, Nicholas M.
8
2004
Une formule de congruence pour la fonction \(\zeta\). Zbl 0275.14015
Katz, N.
8
1973
Rigid local systems on \(\mathbb{A}^{1}\) with finite monodromy. Zbl 1456.11232
Katz, Nicholas M.
8
2018
Crystalline cohomology, Dieudonne modules, and Jacobi sums. Zbl 0502.14007
Katz, Nicholas M.
8
1981
On a question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor. Zbl 1358.11127
Katz, Nicholas M.
8
2013
\(G_2\) and hypergeometric sheaves. Zbl 1167.14013
Katz, Nicholas M.
7
2007
The regularity theorem in algebraic geometry. Zbl 0235.14006
Katz, Nicholas M.
7
1971
Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families. Zbl 1067.14504
de Jong, A. Johan; Katz, Nicholas M.
6
2000
A semicontinuity result for monodromy under degeneration. Zbl 1070.14024
Katz, Nicholas M.
6
2003
A note on lower bounds for Frobenius traces. Zbl 1220.11078
Bombieri, Enrico; Katz, Nicholas M.
6
2010
On the intersection matrix of a hypersurface. Zbl 0187.42802
Katz, Nicholas M.
6
1969
Internal reconstruction of unit-root F-crystals via expansion- coefficients. Appendix: ”Some results on partial Hodge-Witt decompositions” by Luc Illusie. Zbl 0592.14021
Katz, Nicholas M.
6
1985
A result on modular forms in characteristic p. Zbl 0392.10026
Katz, Nicholas M.
6
1977
Lang-Trotter revisited. Zbl 1234.11072
Katz, Nicholas M.
5
2009
Corrections to: A conjecture in the arithmetic theory of differential equations. Zbl 0513.12018
Katz, Nicholas M.
5
1982
On the uniform distribution of Gauss sums and Jacobi sums. Zbl 0866.11073
Katz, Nicholas M.; Zheng, Zhiyong
5
1996
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
5
2019
A rigid local system with monodromy group \(2.J_{2}\). Zbl 1467.11115
Katz, Nicholas M.; Rojas-León, Antonio
5
2019
A note on pseudo-CM representations and differential Galois groups. Zbl 0643.12007
Katz, Nicholas M.; Pink, Richard
4
1987
Estimates for nonsingular mixed character sums. Zbl 1145.11084
Katz, Nicholas M.
4
2007
Introduction aux travaux récents de Dwork. Zbl 0218.14011
Katz, N. M.
4
1971
From Clausen to Carlitz: low-dimensional spin groups and identities among character sums. Zbl 1234.11103
Katz, Nicholas M.
4
2009
A note on exponential sums. Zbl 0851.11073
Katz, Nicholas M.
4
1995
Rigid local systems and a question of Wootters. Zbl 1368.11131
Katz, Nicholas M.
4
2012
Elliptic convolution, \(G_2\), and elliptic surfaces. Zbl 1326.14017
Katz, Nicholas M.
4
2015
Sato-Tate in the higher dimensional case: elaboration of 9.5.4 in Serre’s \(N_X(p)\) book. Zbl 1320.14042
Katz, Nicholas M.
4
2013
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). Zbl 1446.11210
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
4
2020
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
4
2019
A rigid local system with monodromy group the big Conway group \(2.\mathsf{Co}_1\) and two others with monodromy group the Suzuki group \(6.\mathsf{Suz}\). Zbl 1457.11169
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
3
2020
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_2\). Zbl 1460.11144
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
3
2020
Local systems and finite unitary and symplectic groups. Zbl 1425.14009
Katz, Nicholas M.; Tiep, Pham Huu
3
2019
Wild ramification and some problems of ”independence of \(\ell ''\). Zbl 0568.14012
Katz, Nicholas M.
3
1983
Wieferich past and future. Zbl 1416.11082
Katz, Nicholas M.
3
2015
Witt vectors and a question of Rudnick and Waxman. Zbl 1405.13040
Katz, Nicholas M.
3
2017
On a question of Lillian Pierce. Zbl 1139.11055
Katz, Nicholas M.
3
2006
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008
2
1990
Free actions of finite groups on varieties. II. Zbl 0551.14019
Browder, William; Katz, Nicholas M.
2
1982
Exponential sums and total Weil representations of finite symplectic and unitary groups. Zbl 1486.11149
Katz, Nicholas M.; Tiep, Pham Huu
1
2021
Rigid local systems and finite general linear groups. Zbl 1485.11165
Katz, Nicholas M.; Tiep, Pham Huu
1
2021
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). Zbl 1446.11210
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
4
2020
A rigid local system with monodromy group the big Conway group \(2.\mathsf{Co}_1\) and two others with monodromy group the Suzuki group \(6.\mathsf{Suz}\). Zbl 1457.11169
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
3
2020
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_2\). Zbl 1460.11144
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
3
2020
Moments of Weil representations of finite special unitary groups. Zbl 1485.20038
Katz, Nicholas M.; Tiep, Pham Huu
1
2020
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
5
2019
A rigid local system with monodromy group \(2.J_{2}\). Zbl 1467.11115
Katz, Nicholas M.; Rojas-León, Antonio
5
2019
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
4
2019
Local systems and finite unitary and symplectic groups. Zbl 1425.14009
Katz, Nicholas M.; Tiep, Pham Huu
3
2019
Rigid local systems on \(\mathbb{A}^{1}\) with finite monodromy. Zbl 1456.11232
Katz, Nicholas M.
8
2018
Witt vectors and a question of Rudnick and Waxman. Zbl 1405.13040
Katz, Nicholas M.
3
2017
\(G_{2}\) and some exceptional Witt vector identities. Zbl 1409.11131
Katz, Nicholas M.
1
2017
A note on random matrix integrals, moment identities, and Catalan numbers. Zbl 1350.22009
Katz, Nicholas M.
2
2016
Alexandre Grothendieck 1928–2014. I. Zbl 1338.01022
Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
1
2016
Elliptic convolution, \(G_2\), and elliptic surfaces. Zbl 1326.14017
Katz, Nicholas M.
4
2015
Wieferich past and future. Zbl 1416.11082
Katz, Nicholas M.
3
2015
Witt vectors and a question of Entin, Keating, and Rudnick. Zbl 1346.13045
Katz, Nicholas M.
1
2015
On a question of Rudnick: do we have square root cancellation for error terms in moment calculations? Zbl 1386.11094
Katz, Nicholas M.
1
2015
On two questions of Entin, Keating, and Rudnick on primitive Dirichlet characters. Zbl 1385.11072
Katz, Nicholas M.
1
2015
Witt vectors and a question of Keating and Rudnick. Zbl 1328.13028
Katz, Nicholas M.
12
2013
On a question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor. Zbl 1358.11127
Katz, Nicholas M.
8
2013
Sato-Tate in the higher dimensional case: elaboration of 9.5.4 in Serre’s \(N_X(p)\) book. Zbl 1320.14042
Katz, Nicholas M.
4
2013
Convolution and equidistribution. Sato-Tate theorems for finite-field Mellin transforms. Zbl 1261.11084
Katz, Nicholas M.
14
2012
Rigid local systems and a question of Wootters. Zbl 1368.11131
Katz, Nicholas M.
4
2012
Report on the irreducibility of \(L\)-functions. Zbl 1276.11147
Katz, Nicholas M.
2
2012
A note on lower bounds for Frobenius traces. Zbl 1220.11078
Bombieri, Enrico; Katz, Nicholas M.
6
2010
Automorphic realization of residual Galois representations. Zbl 1257.11051
Guralnick, Robert; Harris, Michael; Katz, Nicholas M.
2
2010
2, 3, 5, Legendre: \(\pm \) trace ratios in families of elliptic curves. Zbl 1295.14026
Katz, Nicholas M.
1
2010
Another look at the Dwork family. Zbl 1195.14015
Katz, Nicholas M.
12
2009
Lang-Trotter revisited. Zbl 1234.11072
Katz, Nicholas M.
5
2009
From Clausen to Carlitz: low-dimensional spin groups and identities among character sums. Zbl 1234.11103
Katz, Nicholas M.
4
2009
On a question of Browning and Heath-Brown. Zbl 1253.11080
Katz, Nicholas M.
2
2009
On character sums with distances on the upper half plane over a finite field. Zbl 1253.11109
Katz, Nicholas M.; Shparlinski, Igor E.; Xiong, Maosheng
1
2009
Mixed Hodge polynomials of character varieties. With an appendix by Nicholas M. Katz. Zbl 1213.14020
Hausel, Tamás; Rodriguez-Villegas, Fernando
73
2008
Estimates for mixed character sums. Zbl 1226.11129
Katz, Nicholas M.
1
2008
\(G_2\) and hypergeometric sheaves. Zbl 1167.14013
Katz, Nicholas M.
7
2007
Estimates for nonsingular mixed character sums. Zbl 1145.11084
Katz, Nicholas M.
4
2007
On a question of Lillian Pierce. Zbl 1139.11055
Katz, Nicholas M.
3
2006
Moments, monodromy, and perversity. A Diophantine perspective. Zbl 1079.14025
Katz, Nicholas M.
21
2005
Cohomological divisibility and point count divisibility. Zbl 1076.14028
Esnault, Hélène; Katz, Nicholas M.
1
2005
Random Diophantine equations. With appendices by Jean-Louis Colliot-Thélène and Nicholas M. Katz. Zbl 1208.11050
Poonen, Bjorn; Voloch, José Felipe
20
2004
Notes on \(G_{2}\), determinants, and equidistribution. Zbl 1065.11060
Katz, Nicholas M.
8
2004
Larsen’s alternative, moments, and the monodromy of Lefschetz pencils. Zbl 1081.14015
Katz, Nicholas M.
8
2004
Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001
1
2004
Inequalities related to Lefschetz pencils and integrals of Chern classes. Zbl 1092.14016
Katz, Nicholas M.; Pandharipande, Rahul
1
2004
A semicontinuity result for monodromy under degeneration. Zbl 1070.14024
Katz, Nicholas M.
6
2003
Estimates for nonsingular multiplicative character sums. Zbl 1028.11075
Katz, Nicholas M.
15
2002
Twisted \(L\)-functions and monodromy. Zbl 1029.14005
Katz, Nicholas M.
10
2002
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
25
2001
A general stratification theorem for exponential sums, and applications. Zbl 0986.11054
Fouvry, E.; Katz, N.
18
2001
Space filling curves over finite fields. Zbl 1016.11022
Katz, Nicholas M.
12
2001
\(L\)-functions and monodromy: four lectures on Weil II. Zbl 1016.14011
Katz, Nicholas M.
10
2001
Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Zbl 1023.11031
Katz, Nicholas M.
8
2001
Sato-Tate equidistribution of Kurlberg-Rudnick sums. Zbl 1011.11058
Katz, Nicholas M.
1
2001
Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families. Zbl 1067.14504
de Jong, A. Johan; Katz, Nicholas M.
6
2000
Random matrices, Frobenius eigenvalues, and monodromy. Zbl 0958.11004
Katz, Nicholas M.; Sarnak, Peter
215
1999
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
124
1999
Estimates for “singular” exponential sums. Zbl 0991.11064
Katz, Nicholas M.
18
1999
Bernard Dwork (1923–1998). Zbl 1177.01050
Katz, Nicholas M.; Tate, John
1
1999
Rigid local systems. Zbl 0864.14013
Katz, Nicholas M.
92
1996
On the uniform distribution of Gauss sums and Jacobi sums. Zbl 0866.11073
Katz, Nicholas M.; Zheng, Zhiyong
5
1996
A note on exponential sums. Zbl 0851.11073
Katz, Nicholas M.
4
1995
Review of \(\ell\)-adic cohomology. Zbl 0817.14006
Katz, Nicholas M.
8
1994
Perversity and exponential sums. II: Estimates for and inequalities among \(A\)-numbers. Zbl 0837.14017
Katz, Nicholas M.
2
1994
Independence of \(\ell\) and weak Lefschetz. Zbl 0813.14013
Katz, Nicholas M.
1
1994
Estimates for Soto-Andrade sums. Zbl 0798.11053
Katz, Nicholas M.
23
1993
Affine cohomological transforms, perversity, and monodromy. Appendix (d’après Deligne). Zbl 0815.14011
Katz, Nicholas M.
9
1993
The divisor function over arithmetic progressions. With Appendix by Nicholas Katz. Zbl 0764.11040
Fouvry, Etienne; Iwaniec, Henryk
11
1992
Exponential sums and differential equations. Zbl 0731.14008
Katz, Nicholas M.
129
1990
Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. Zbl 0727.11057
Katz, Nicholas M.
13
1990
Factoring polynomials in finite fields: An application of Lang-Weil to a problem in graph theory. Zbl 0708.05029
Katz, Nicholas M.
9
1990
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008
2
1990
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009
1
1990
Sommes de Kloosterman et courbes elliptiques universelles en caractéristiques 2 et 3. (Kloosterman sums and universal elliptic curves in characteristics 2 and 3). Zbl 0701.14033
Katz, Nicholas; Livné, Ron
22
1989
An estimate for character sums. Zbl 0672.10026
Katz, Nicholas M.
20
1989
Perversity and exponential sums. Zbl 0755.14008
Katz, Nicholas M.
10
1989
Corrections à: “Transformation de Fourier et majoration de sommes exponentielles”. (Corrections to: “Fourier transformation and majorization of exponential sums”). Zbl 0705.14020
Katz, Nicholas M.; Laumon, Gérard
2
1989
Gauss sums, Kloosterman sums, and monodromy groups. Zbl 0675.14004
Katz, Nicholas M.
157
1988
Travaux de Laumon. (Works of Laumon). Zbl 0698.14014
Katz, Nicholas M.
11
1988
On the calculation of some differential Galois groups. Zbl 0609.12025
Katz, Nicholas M.
47
1987
On the monodromy groups attached to certain families of exponential sums. Zbl 0643.12004
Katz, Nicholas M.
26
1987
A simple algorithm for cyclic vectors. Zbl 0621.13003
Katz, Nicholas M.
15
1987
A note on pseudo-CM representations and differential Galois groups. Zbl 0643.12007
Katz, Nicholas M.; Pink, Richard
4
1987
On a certain class of exponential sums. Zbl 0604.12015
Katz, Nicholas M.
1
1987
Local-to-global extensions of representations of fundamental groups. Zbl 0564.14013
Katz, Nicholas M.
44
1986
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
251
1985
Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.). Zbl 0603.14015
Katz, Nicholas M.; Laumon, Gérard
52
1985
Internal reconstruction of unit-root F-crystals via expansion- coefficients. Appendix: ”Some results on partial Hodge-Witt decompositions” by Luc Illusie. Zbl 0592.14021
Katz, Nicholas M.
6
1985
Wild ramification and some problems of ”independence of \(\ell ''\). Zbl 0568.14012
Katz, Nicholas M.
3
1983
A conjecture in the arithmetic theory of differential equations. Zbl 0504.12022
Katz, Nicholas M.
26
1982
Corrections to: A conjecture in the arithmetic theory of differential equations. Zbl 0513.12018
Katz, Nicholas M.
5
1982
Free actions of finite groups on varieties. II. Zbl 0551.14019
Browder, William; Katz, Nicholas M.
2
1982
Free actions of finite groups on varieties. I. Zbl 0551.57022
Browder, William; Katz, Nicholas M.
1
1982
Galois properties of torsion points on abelian varieties. Zbl 0471.14023
Katz, Nicholas M.
51
1981
Serre-Tate local moduli. Zbl 0477.14007
Katz, N.
46
1981
Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet). Zbl 0495.14011
Katz, Nicholas M.; Lang, Serge
38
1981
Divisibilities, congruences, and Cartier duality. Zbl 0559.14032
Katz, Nicholas M.
14
1981
Another look at \(p\)-adic \(L\)-functions for totally real fields. Zbl 0497.14006
Katz, Nicholas M.
10
1981
Crystalline cohomology, Dieudonne modules, and Jacobi sums. Zbl 0502.14007
Katz, Nicholas M.
8
1981
...and 33 more Documents
all top 5

Cited by 1,807 Authors

45 Katz, Nicholas Michael
30 Shparlinski, Igor E.
21 Hida, Haruzo
19 Sperber, Steven I.
18 Kowalski, Emmanuel
17 Michel, Philippe Gabriel
17 Wan, Daqing
16 Miller, Steven J.
15 Fouvry, Etienne
15 Tiep Pham Huu
14 Adolphson, Alan
13 Rojas-León, Antonio
13 Sawin, William F.
12 Gross, Benedict Hyman
12 Harris, Michael Howard
12 Panchishkin, Alexei A.
12 Zaharescu, Alexandru
11 Esnault, Hélène
11 Keating, Jonathan Peter
10 van der Put, Marius
9 André, Yves
9 Barman, Rupam
9 Buium, Alexandru
9 Burungale, Ashay A.
9 Dettweiler, Michael
9 Katz, Daniel J.
9 Mazur, Barry
9 Poonen, Bjorn
9 Reiter, Stefan
8 Achter, Jeffrey D.
8 Coleman, Robert Frederick
8 Crew, Richard M.
8 Cullinan, John
8 Darmon, Henri René
8 Fu, Lei
8 Roques, Julien
8 Tilouine, Jacques
8 Xi, Ping
7 Andrade, Julio Cesar
7 Biswas, Indranil
7 Cao, Wei
7 Chiarellotto, Bruno
7 de Shalit, Ehud
7 Dwork, Bernard Morris
7 Evans, Ronald J.
7 Guerzhoy, Pavel I.
7 Guralnick, Robert Michael
7 Hong, Shaofang
7 Illusie, Luc
7 Rudnick, Zeév
7 Sarnak, Peter Clive
7 Snaith, Nina Claire
7 Ulmer, Douglas L.
7 Voloch, José Felipe
6 Berthelot, Pierre
6 Böckle, Gebhard
6 Castella, Francesc
6 Castro, Francis Noel
6 Chen, Imin
6 Clark, Peter Louis
6 Cohen, Stephen D.
6 Conrad, Brian
6 David, Chantal
6 Eischen, Ellen Elizabeth
6 Etesse, Jean-Yves
6 Goren, Eyal Z.
6 Haraoka, Yoshishige
6 Kedlaya, Kiran Sridhara
6 Kobayashi, Shinichi
6 Lauder, Alan G. B.
6 Long, Ling
6 Pink, Richard
6 Pries, Rachel J.
6 Rubinstein, Michael O.
6 Suh, Junecue
6 Zarkhin, Yuriĭ Gennad’evich
6 Zuo, Kang
5 Andreatta, Fabrizio
5 Baldassarri, Francesco
5 Beukers, Frits
5 Chandee, Vorrapan
5 Forrester, Peter J.
5 Goss, David Mark
5 Gros, Michel
5 Hall, Chris
5 Hoshi, Yuichiro
5 Hsieh, Ming-Lun
5 Kerz, Moritz C.
5 Kisin, Mark
5 Lachaud, Gilles
5 Lan, Kai-Wen
5 Langevin, Philippe
5 Larsen, Michael Jeffrey
5 Meier, Lennart
5 Milne, James Stuart
5 Movasati, Hossein
5 Ogus, Arthur
5 Oort, Frans
5 Roditty-Gershon, Edva
5 Rotger, Victor
...and 1,707 more Authors
all top 5

Cited in 229 Serials

172 Journal of Number Theory
105 Inventiones Mathematicae
89 Compositio Mathematica
89 Duke Mathematical Journal
72 Annales de l’Institut Fourier
67 Transactions of the American Mathematical Society
64 Mathematische Annalen
58 Finite Fields and their Applications
56 Advances in Mathematics
49 Journal of Algebra
43 Proceedings of the American Mathematical Society
42 International Journal of Number Theory
41 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
41 Mathematische Zeitschrift
37 Journal de Théorie des Nombres de Bordeaux
31 Israel Journal of Mathematics
28 Annals of Mathematics. Second Series
27 Journal of the American Mathematical Society
26 Journal für die Reine und Angewandte Mathematik
25 Manuscripta Mathematica
22 Journal of Pure and Applied Algebra
22 Research in Number Theory
21 Bulletin of the American Mathematical Society. New Series
20 Mathematics of Computation
19 Communications in Mathematical Physics
19 Journal of Algebraic Geometry
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Experimental Mathematics
16 Journal of the Institute of Mathematics of Jussieu
16 Forum of Mathematics, Sigma
15 Publications Mathématiques
15 Selecta Mathematica. New Series
15 Documenta Mathematica
15 The Ramanujan Journal
15 Algebra & Number Theory
14 Research in the Mathematical Sciences
13 Publications of the Research Institute for Mathematical Sciences, Kyoto University
13 Journal of Symbolic Computation
13 Forum Mathematicum
12 Rendiconti del Seminario Matematico della Università di Padova
12 Journal of the European Mathematical Society (JEMS)
11 Geometric and Functional Analysis. GAFA
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
10 Journal of Mathematical Physics
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Nagoya Mathematical Journal
10 Proceedings of the Japan Academy. Series A
10 Indagationes Mathematicae. New Series
9 Acta Arithmetica
9 Journal of Soviet Mathematics
9 LMS Journal of Computation and Mathematics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Archiv der Mathematik
8 Bulletin de la Société Mathématique de France
8 Functiones et Approximatio. Commentarii Mathematici
8 Tôhoku Mathematical Journal. Second Series
8 Mémoires de la Société Mathématique de France. Nouvelle Série
7 Journal of Geometry and Physics
7 Mathematika
7 Monatshefte für Mathematik
7 Algebraic & Geometric Topology
6 International Journal of Mathematics
6 Journal of the Australian Mathematical Society
6 Japanese Journal of Mathematics. 3rd Series
6 European Journal of Mathematics
5 Communications in Algebra
5 Discrete Mathematics
5 Journal of Mathematical Analysis and Applications
5 Canadian Journal of Mathematics
5 Journal of Combinatorial Theory. Series A
5 Journal of Differential Equations
5 Mathematische Nachrichten
5 Memoirs of the American Mathematical Society
5 Michigan Mathematical Journal
5 Forum of Mathematics, Pi
5 Annales Mathématiques du Québec
4 Communications on Pure and Applied Mathematics
4 Mathematical Notes
4 Nuclear Physics. B
4 Rocky Mountain Journal of Mathematics
4 Journal of the Mathematical Society of Japan
4 Pacific Journal of Mathematics
4 Transformation Groups
4 Representation Theory
4 Milan Journal of Mathematics
4 International Journal of Geometric Methods in Modern Physics
4 Cryptography and Communications
4 Science China. Mathematics
3 Bulletin of the Australian Mathematical Society
3 Discrete Applied Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 The Annals of Probability
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Canadian Mathematical Bulletin
3 Glasgow Mathematical Journal
3 Osaka Journal of Mathematics
3 Theoretical Computer Science
3 Chinese Annals of Mathematics. Series B
3 Designs, Codes and Cryptography
3 Linear Algebra and its Applications
...and 129 more Serials
all top 5

Cited in 51 Fields

1,297 Number theory (11-XX)
1,064 Algebraic geometry (14-XX)
122 Field theory and polynomials (12-XX)
111 Group theory and generalizations (20-XX)
110 Several complex variables and analytic spaces (32-XX)
92 Special functions (33-XX)
91 Ordinary differential equations (34-XX)
72 Commutative algebra (13-XX)
51 Linear and multilinear algebra; matrix theory (15-XX)
50 Combinatorics (05-XX)
49 Topological groups, Lie groups (22-XX)
48 Probability theory and stochastic processes (60-XX)
42 Algebraic topology (55-XX)
36 Quantum theory (81-XX)
32 \(K\)-theory (19-XX)
29 Category theory; homological algebra (18-XX)
26 Computer science (68-XX)
25 Associative rings and algebras (16-XX)
25 Global analysis, analysis on manifolds (58-XX)
25 Information and communication theory, circuits (94-XX)
22 Dynamical systems and ergodic theory (37-XX)
21 Differential geometry (53-XX)
18 Nonassociative rings and algebras (17-XX)
15 Partial differential equations (35-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Manifolds and cell complexes (57-XX)
9 Difference and functional equations (39-XX)
8 General and overarching topics; collections (00-XX)
8 Functions of a complex variable (30-XX)
7 Convex and discrete geometry (52-XX)
6 History and biography (01-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Abstract harmonic analysis (43-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
5 Mathematical logic and foundations (03-XX)
5 Approximations and expansions (41-XX)
5 Geometry (51-XX)
5 Numerical analysis (65-XX)
4 Integral transforms, operational calculus (44-XX)
4 Statistics (62-XX)
3 Measure and integration (28-XX)
2 Integral equations (45-XX)
2 Relativity and gravitational theory (83-XX)
2 Biology and other natural sciences (92-XX)
1 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.