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Katz, Nicholas Michael

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Author ID: katz.nicholas-m Recent zbMATH articles by "Katz, Nicholas Michael"
Published as: Katz, N.; Katz, N. M.; Katz, Nicholas; Katz, Nicholas M.
Homepage: https://web.math.princeton.edu/~nmk/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 143 Publications since 1968, including 16 Books
all top 5

Serials

10 IMRN. International Mathematics Research Notices
10 Finite Fields and their Applications
7 Annals of Mathematics Studies
5 Inventiones Mathematicae
4 American Journal of Mathematics
4 Publications Mathématiques
4 Mathematische Annalen
4 L’Enseignement Mathématique. 2e Série
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 Experimental Mathematics
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 Annals of Mathematics. Second Series
1 Israel Journal of Mathematics
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 Transactions of the American Mathematical Society
1 Geometric and Functional Analysis. GAFA
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 Communications in Number Theory and Physics
1 Philosophical Transactions A. Royal Society of London
1 Tunisian Journal of Mathematics

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 2,720 times in 1,943 Documents Cited by Year
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
236
1985
Random matrices, Frobenius eigenvalues, and monodromy. Zbl 0958.11004
Katz, Nicholas M.; Sarnak, Peter
205
1999
Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin. Zbl 0221.14007
Katz, Nicholas M.
188
1970
Gauss sums, Kloosterman sums, and monodromy groups. Zbl 0675.14004
Katz, Nicholas M.
144
1988
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
119
1999
Exponential sums and differential equations. Zbl 0731.14008
Katz, Nicholas M.
112
1990
Some consequences of the Riemann hypothesis for varieties over finite fields. Zbl 0275.14011
Katz, Nicholas M.; Messing, William
105
1974
\(p\)-adic interpolation of real analytic Eisenstein series. Zbl 0354.14007
Katz, Nicholas M.
104
1976
\(p\)-adic \(L\)-functions for CM fields. Zbl 0417.12003
Katz, Nicholas M.
92
1978
\(p\)-adic properties of modular schemes and modular forms. Zbl 0271.10033
Katz, Nicholas M.
89
1973
Rigid local systems. Zbl 0864.14013
Katz, Nicholas M.
86
1996
Algebraic solutions of differential equations (p-curvature and the Hodge filtration). Zbl 0278.14004
Katz, Nicholas M.
72
1972
Slope filtration of F-crystals. Zbl 0426.14007
Katz, Nicholas M.
65
1979
On the differentiation of De Rham cohomology classes with respect to parameters. Zbl 0165.54802
Katz, N. M.; Oda, T.
61
1968
On a theorem of Ax. Zbl 0237.12012
Katz, Nicholas M.
51
1971
Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.). Zbl 0603.14015
Katz, Nicholas M.; Laumon, Gérard
47
1985
On the calculation of some differential Galois groups. Zbl 0609.12025
Katz, Nicholas M.
44
1987
Galois properties of torsion points on abelian varieties. Zbl 0471.14023
Katz, Nicholas M.
42
1981
Serre-Tate local moduli. Zbl 0477.14007
Katz, N.
41
1981
Local-to-global extensions of representations of fundamental groups. Zbl 0564.14013
Katz, Nicholas M.
39
1986
Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet). Zbl 0495.14011
Katz, Nicholas M.; Lang, Serge
34
1981
Higher congruences between modular forms. Zbl 0356.10020
Katz, Nicholas M.
31
1975
A conjecture in the arithmetic theory of differential equations. Zbl 0504.12022
Katz, Nicholas M.
26
1982
The Eisenstein measure and p-adic interpolation. Zbl 0375.12022
Katz, Nicholas M.
26
1977
Travaux de Dwork. Zbl 0259.14007
Katz, Nicholas
26
1973
On the monodromy groups attached to certain families of exponential sums. Zbl 0643.12004
Katz, Nicholas M.
24
1987
Estimates for Soto-Andrade sums. Zbl 0798.11053
Katz, Nicholas M.
22
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
21
1989
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
20
2001
Sommes exponentielles. Cours à Orsay, automne 1979. Redige par Gerard Laumon, preface par Luc Illusie. Zbl 0469.12007
Katz, Nicholas M.
20
1980
Moments, monodromy, and perversity. A Diophantine perspective. Zbl 1079.14025
Katz, Nicholas M.
19
2005
An estimate for character sums. Zbl 0672.10026
Katz, Nicholas M.
19
1989
On the differential equations satisfied by period matrices. Zbl 0159.22502
Katz, N. M.
19
1968
A general stratification theorem for exponential sums, and applications. Zbl 0986.11054
Fouvry, E.; Katz, N.
17
2001
Estimates for “singular” exponential sums. Zbl 0991.11064
Katz, Nicholas M.
16
1999
A simple algorithm for cyclic vectors. Zbl 0621.13003
Katz, Nicholas M.
15
1987
An overview of Deligne’s work on Hilbert’s twenty-first problem. Zbl 0347.14010
Katz, Nicholas M.
15
1976
Estimates for nonsingular multiplicative character sums. Zbl 1028.11075
Katz, Nicholas M.
14
2002
p-adic L-functions via moduli of elliptic curves. Zbl 0317.14009
Katz, Nicholas M.
14
1975
Exponential sums over finite fields and differential equations over the complex numbers: Some interactions. Zbl 0727.11057
Katz, Nicholas M.
13
1990
Divisibilities, congruences, and Cartier duality. Zbl 0559.14032
Katz, Nicholas M.
13
1981
Pinceaux de Lefschetz: Théoreme d’existence. Zbl 0284.14006
Katz, N. M.
13
1973
Another look at the Dwork family. Zbl 1195.14015
Katz, Nicholas M.
11
2009
Twisted \(L\)-functions and monodromy. Zbl 1029.14005
Katz, Nicholas M.
11
2002
Convolution and equidistribution. Sato-Tate theorems for finite-field Mellin transforms. Zbl 1261.11084
Katz, Nicholas M.
10
2012
Space filling curves over finite fields. Zbl 1016.11022
Katz, Nicholas M.
10
2001
Another look at \(p\)-adic \(L\)-functions for totally real fields. Zbl 0497.14006
Katz, Nicholas M.
10
1981
Formal groups and p-adic interpolation. Zbl 0351.14024
Katz, Nicholas M.
10
1977
Witt vectors and a question of Keating and Rudnick. Zbl 1328.13028
Katz, Nicholas M.
9
2013
\(L\)-functions and monodromy: four lectures on Weil II. Zbl 1016.14011
Katz, Nicholas M.
9
2001
Factoring polynomials in finite fields: An application of Lang-Weil to a problem in graph theory. Zbl 0708.05029
Katz, Nicholas M.
9
1990
Travaux de Laumon. (Works of Laumon). Zbl 0698.14014
Katz, Nicholas M.
9
1988
The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers. Zbl 0303.10028
Katz, Nicholas M.
9
1975
Larsen’s alternative, moments, and the monodromy of Lefschetz pencils. Zbl 1081.14015
Katz, Nicholas M.
8
2004
Notes on \(G_{2}\), determinants, and equidistribution. Zbl 1065.11060
Katz, Nicholas M.
8
2004
Frobenius-Schur indicator and the ubiquity of Brock-Granville quadratic excess. Zbl 1023.11031
Katz, Nicholas M.
8
2001
Affine cohomological transforms, perversity, and monodromy. Appendix (d’après Deligne). Zbl 0815.14011
Katz, Nicholas M.
8
1993
Perversity and exponential sums. Zbl 0755.14008
Katz, Nicholas M.
8
1989
Crystalline cohomology, Dieudonne modules, and Jacobi sums. Zbl 0502.14007
Katz, Nicholas M.
8
1981
Étude cohomologique des pinceaux de Lefschetz. Zbl 0284.14007
Katz, N.
8
1973
Une formule de congruence pour la fonction \(\zeta\). Zbl 0275.14015
Katz, N.
8
1973
The regularity theorem in algebraic geometry. Zbl 0235.14006
Katz, Nicholas M.
8
1971
Rigid local systems on \(\mathbb{A}^{1}\) with finite monodromy. Zbl 1456.11232
Katz, Nicholas M.
7
2018
\(G_2\) and hypergeometric sheaves. Zbl 1167.14013
Katz, Nicholas M.
7
2007
Review of \(\ell\)-adic cohomology. Zbl 0817.14006
Katz, Nicholas M.
7
1994
On a question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor. Zbl 1358.11127
Katz, Nicholas M.
6
2013
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 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
A semicontinuity result for monodromy under degeneration. Zbl 1070.14024
Katz, Nicholas M.
5
2003
On the uniform distribution of Gauss sums and Jacobi sums. Zbl 0866.11073
Katz, Nicholas M.; Zheng, Zhiyong
5
1996
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.
5
1985
On the intersection matrix of a hypersurface. Zbl 0187.42802
Katz, Nicholas M.
5
1969
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
4
2019
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 and a question of Wootters. Zbl 1368.11131
Katz, Nicholas M.
4
2012
Estimates for nonsingular mixed character sums. Zbl 1145.11084
Katz, Nicholas M.
4
2007
A note on exponential sums. Zbl 0851.11073
Katz, Nicholas M.
4
1995
A note on pseudo-CM representations and differential Galois groups. Zbl 0643.12007
Katz, Nicholas M.; Pink, Richard
4
1987
Corrections to: A conjecture in the arithmetic theory of differential equations. Zbl 0513.12018
Katz, Nicholas M.
4
1982
Introduction aux travaux récents de Dwork. Zbl 0218.14011
Katz, N. M.
4
1971
A rigid local system with monodromy group \(2.J_{2}\). Zbl 07067789
Katz, Nicholas M.; Rojas-León, Antonio
3
2019
Wieferich past and future. Zbl 1416.11082
Katz, Nicholas M.
3
2015
A note on lower bounds for Frobenius traces. Zbl 1220.11078
Bombieri, Enrico; Katz, Nicholas M.
3
2010
On a question of Lillian Pierce. Zbl 1139.11055
Katz, Nicholas M.
3
2006
Wild ramification and some problems of ”independence of \(\ell ''\). Zbl 0568.14012
Katz, Nicholas M.
3
1983
An overview of Deligne’s proof of the Riemann hypothesis for varieties over finite fields. Zbl 0339.14013
Katz, Nicholas M.
3
1976
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
2
2019
Witt vectors and a question of Rudnick and Waxman. Zbl 1405.13040
Katz, Nicholas M.
2
2017
A note on random matrix integrals, moment identities, and Catalan numbers. Zbl 1350.22009
Katz, Nicholas M.
2
2016
Elliptic convolution, \(G_2\), and elliptic surfaces. Zbl 1326.14017
Katz, Nicholas M.
2
2015
Report on the irreducibility of \(L\)-functions. Zbl 1276.11147
Katz, Nicholas M.
2
2012
Automorphic realization of residual Galois representations. Zbl 1257.11051
Guralnick, Robert; Harris, Michael; Katz, Nicholas M.
2
2010
Perversity and exponential sums. II: Estimates for and inequalities among \(A\)-numbers. Zbl 0837.14017
Katz, Nicholas M.
2
1994
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume I. Zbl 0717.00008
Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.)
2
1990
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
Free actions of finite groups on varieties. II. Zbl 0551.14019
Browder, William; Katz, Nicholas M.
2
1982
Le niveau de la cohomologie des intersections complètes. Appendice par P. Deligne. Zbl 0288.14001
Katz, N.
2
1973
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). Zbl 1446.11210
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
1
2020
Local systems and finite unitary and symplectic groups. Zbl 1425.14009
Katz, Nicholas M.; Tiep, Pham Huu
1
2019
Rigid local systems with monodromy group the Conway group \(\mathsf{Co}_3\). Zbl 1446.11210
Katz, Nicholas M.; Rojas-León, Antonio; Tiep, Pham Huu
1
2020
Rigid local systems and alternating groups. Zbl 1454.11217
Guralnick, Robert; Katz, Nicholas; Tiep, Pham Huu
4
2019
A rigid local system with monodromy group \(2.J_{2}\). Zbl 07067789
Katz, Nicholas M.; Rojas-León, Antonio
3
2019
Rigid local systems and finite symplectic groups. Zbl 1459.11225
Katz, Nicholas M.; Tiep, Pham Huu
2
2019
Local systems and finite unitary and symplectic groups. Zbl 1425.14009
Katz, Nicholas M.; Tiep, Pham Huu
1
2019
Rigid local systems on \(\mathbb{A}^{1}\) with finite monodromy. Zbl 1456.11232
Katz, Nicholas M.
7
2018
Witt vectors and a question of Rudnick and Waxman. Zbl 1405.13040
Katz, Nicholas M.
2
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
Artin, Michael (ed.); Jackson, Allyn (ed.); Mumford, David (ed.); Tate, John (ed.); Atiyah, Michael; Bass, Hyman; Cartier, Pierre; Deligne, Pierre; Demazure, Michel; Greenberg, Marvin Jay; Hartshorne, Robin; Illusie, Luc; Katz, Nicholas; Kleiman, Steven L.
1
2016
Wieferich past and future. Zbl 1416.11082
Katz, Nicholas M.
3
2015
Elliptic convolution, \(G_2\), and elliptic surfaces. Zbl 1326.14017
Katz, Nicholas M.
2
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
Witt vectors and a question of Entin, Keating, and Rudnick. Zbl 1346.13045
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.
9
2013
On a question of Keating and Rudnick about primitive Dirichlet characters with squarefree conductor. Zbl 1358.11127
Katz, Nicholas M.
6
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.
10
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.
3
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.
11
2009
Lang-Trotter revisited. Zbl 1234.11072
Katz, Nicholas M.
5
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
From Clausen to Carlitz: low-dimensional spin groups and identities among character sums. Zbl 1234.11103
Katz, Nicholas M.
1
2009
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.
19
2005
Cohomological divisibility and point count divisibility. Zbl 1076.14028
Esnault, Hélène; Katz, Nicholas M.
1
2005
Larsen’s alternative, moments, and the monodromy of Lefschetz pencils. Zbl 1081.14015
Katz, Nicholas M.
8
2004
Notes on \(G_{2}\), determinants, and equidistribution. Zbl 1065.11060
Katz, Nicholas M.
8
2004
Inequalities related to Lefschetz pencils and integrals of Chern classes. Zbl 1092.14016
Katz, Nicholas M.; Pandharipande, Rahul
1
2004
Geometric aspects of Dwork theory. Vol. I, II. Zbl 1047.14001
Adolphson, Alan (ed.); Baldassarri, Francesco (ed.); Berthelot, Pierre (ed.); Katz, Nicholas (ed.); Loeser, François (ed.)
1
2004
A semicontinuity result for monodromy under degeneration. Zbl 1070.14024
Katz, Nicholas M.
5
2003
Estimates for nonsingular multiplicative character sums. Zbl 1028.11075
Katz, Nicholas M.
14
2002
Twisted \(L\)-functions and monodromy. Zbl 1029.14005
Katz, Nicholas M.
11
2002
Sums of Betti numbers in arbitrary characteristic. Zbl 1068.14501
Katz, Nicholas M.
20
2001
A general stratification theorem for exponential sums, and applications. Zbl 0986.11054
Fouvry, E.; Katz, N.
17
2001
Space filling curves over finite fields. Zbl 1016.11022
Katz, Nicholas M.
10
2001
\(L\)-functions and monodromy: four lectures on Weil II. Zbl 1016.14011
Katz, Nicholas M.
9
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
205
1999
Zeroes of zeta functions and symmetry. Zbl 0921.11047
Katz, Nicholas M.; Sarnak, Peter
119
1999
Estimates for “singular” exponential sums. Zbl 0991.11064
Katz, Nicholas M.
16
1999
Bernard Dwork (1923–1998). Zbl 1177.01050
Katz, Nicholas M.; Tate, John
1
1999
Rigid local systems. Zbl 0864.14013
Katz, Nicholas M.
86
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.
7
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.
22
1993
Affine cohomological transforms, perversity, and monodromy. Appendix (d’après Deligne). Zbl 0815.14011
Katz, Nicholas M.
8
1993
Exponential sums and differential equations. Zbl 0731.14008
Katz, Nicholas M.
112
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
Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.)
2
1990
The Grothendieck Festschrift. A collection of articles written in honor of the 60th birthday of Alexander Grothendieck. Volume II. Zbl 0717.00009
Cartier, P. (ed.); Illusie, L. (ed.); Katz, N. M. (ed.); Laumon, G. (ed.); Manin, Y. (ed.); Ribet, K. A. (ed.)
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
21
1989
An estimate for character sums. Zbl 0672.10026
Katz, Nicholas M.
19
1989
Perversity and exponential sums. Zbl 0755.14008
Katz, Nicholas M.
8
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.
144
1988
Travaux de Laumon. (Works of Laumon). Zbl 0698.14014
Katz, Nicholas M.
9
1988
On the calculation of some differential Galois groups. Zbl 0609.12025
Katz, Nicholas M.
44
1987
On the monodromy groups attached to certain families of exponential sums. Zbl 0643.12004
Katz, Nicholas M.
24
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.
39
1986
Arithmetic moduli of elliptic curves. Zbl 0576.14026
Katz, Nicholas M.; Mazur, Barry
236
1985
Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.). Zbl 0603.14015
Katz, Nicholas M.; Laumon, Gérard
47
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.
5
1985
Wild ramification and some problems of ”independence of \(\ell ''\). Zbl 0568.14012
Katz, Nicholas M.
3
1983
On the ubiquity of ”pathology” in products. Zbl 0574.14021
Katz, Nicholas M.
1
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.
4
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.
42
1981
Serre-Tate local moduli. Zbl 0477.14007
Katz, N.
41
1981
Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet). Zbl 0495.14011
Katz, Nicholas M.; Lang, Serge
34
1981
Divisibilities, congruences, and Cartier duality. Zbl 0559.14032
Katz, Nicholas M.
13
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
Monodromy of families of curves: Applications of some results of Davenport-Lewis. Zbl 0475.14025
Katz, Nicholas M.
1
1981
Sommes exponentielles. Cours à Orsay, automne 1979. Redige par Gerard Laumon, preface par Luc Illusie. Zbl 0469.12007
Katz, Nicholas M.
20
1980
The work of Pierre Deligne. Zbl 0441.14001
Katz, N. M.
1
1980
p-adic L-functions, Serre-Tate local moduli, and ratios of solutions of differential equations. Zbl 0439.12010
Katz, Nicholas M.
1
1980
Slope filtration of F-crystals. Zbl 0426.14007
Katz, Nicholas M.
65
1979
\(p\)-adic \(L\)-functions for CM fields. Zbl 0417.12003
Katz, Nicholas M.
92
1978
The Eisenstein measure and p-adic interpolation. Zbl 0375.12022
Katz, Nicholas M.
26
1977
Formal groups and p-adic interpolation. Zbl 0351.14024
Katz, Nicholas M.
10
1977
...and 24 more Documents
all top 5

Cited by 1,713 Authors

41 Katz, Nicholas Michael
30 Shparlinski, Igor E.
18 Hida, Haruzo
18 Sperber, Steven I.
16 Miller, Steven J.
16 Wan, Daqing
15 Kowalski, Emmanuel
14 Michel, Philippe Gabriel
13 Adolphson, Alan
13 Fouvry, Etienne
12 Esnault, Hélène
12 Gross, Benedict Hyman
12 Harris, Michael Howard
12 Panchishkin, Alexei A.
12 Tiep Pham Huu
11 Rojas-León, Antonio
11 Zaharescu, Alexandru
10 Keating, Jonathan P.
10 van der Put, Marius
9 André, Yves
9 Buium, Alexandru
9 Katz, Daniel J.
9 Poonen, Bjorn
8 Achter, Jeffrey D.
8 Barman, Rupam
8 Chen, Imin
8 Coleman, Robert Frederick
8 Crew, Richard M.
8 Dettweiler, Michael
8 Evans, Ronald J.
8 Mazur, Barry
8 Reiter, Stefan
8 Tilouine, Jacques
8 Ulmer, Douglas L.
8 Xi, Ping
7 Burungale, Ashay A.
7 Chiarellotto, Bruno
7 Darmon, Henri René
7 de Shalit, Ehud
7 Dwork, Bernard Morris
7 Fu, Lei
7 Goren, Eyal Z.
7 Guerzhoy, Pavel I.
7 Guralnick, Robert Michael
7 Pries, Rachel J.
7 Roques, Julien
7 Rudnick, Zeév
7 Sarnak, Peter Clive
7 Sawin, William F.
7 Snaith, Nina Claire
7 Voloch, José Felipe
6 Andrade, Julio Cesar
6 Berthelot, Pierre
6 Biswas, Indranil
6 Böckle, Gebhard
6 Cao, Wei
6 Castro, Francis Noel
6 Etesse, Jean-Yves
6 Goss, David
6 Haraoka, Yoshishige
6 Illusie, Luc
6 Langevin, Philippe
6 Pink, Richard
6 Rubinstein, Michael O.
6 Suh, Junecue
6 Zhu, Hui June
5 Andreatta, Fabrizio
5 Baldassarri, Francesco
5 Chandee, Vorrapan
5 Cohen, Stephen D.
5 Cullinan, John
5 David, Chantal
5 Eischen, Ellen Elizabeth
5 Forrester, Peter J.
5 Gillard, Roland
5 Gros, Michel
5 Hall, Chris
5 Hoshi, Yuichiro
5 Howe, Everett W.
5 Hsieh, Ming-Lun
5 Kerz, Moritz C.
5 Kobayashi, Shinichi
5 Lachaud, Gilles
5 Lan, Kai-Wen
5 Lauder, Alan G. B.
5 Milne, James Stuart
5 Movasati, Hossein
5 Ogus, Arthur
5 Oort, Frans
5 Roditty-Gershon, Edva
5 Rotger, Victor
5 Rubin, Karl Cooper
5 Rubio, Ivelisse M.
5 Sheng, Mao
5 Taylor, Richard Lawrence
5 Tsuzuki, Nobuo
5 Xiao, Liang
5 Xiong, Maosheng
5 Zarkhin, Yuriĭ Gennad’evich
5 Zhang, Wenpeng
...and 1,613 more Authors
all top 5

Cited in 212 Serials

177 Journal of Number Theory
102 Inventiones Mathematicae
87 Duke Mathematical Journal
81 Compositio Mathematica
66 Annales de l’Institut Fourier
64 Transactions of the American Mathematical Society
61 Mathematische Annalen
55 Finite Fields and their Applications
51 Advances in Mathematics
50 Journal of Algebra
42 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
41 Proceedings of the American Mathematical Society
41 International Journal of Number Theory
34 Mathematische Zeitschrift
34 Journal de Théorie des Nombres de Bordeaux
30 Israel Journal of Mathematics
26 Annals of Mathematics. Second Series
24 Manuscripta Mathematica
24 Journal of the American Mathematical Society
22 Journal für die Reine und Angewandte Mathematik
21 Journal of Pure and Applied Algebra
21 Bulletin of the American Mathematical Society. New Series
19 Journal of Algebraic Geometry
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
18 Mathematics of Computation
17 Communications in Mathematical Physics
16 Journal of the Institute of Mathematics of Jussieu
16 Research in Number Theory
15 Publications Mathématiques
15 Experimental Mathematics
15 Algebra & Number Theory
14 Research in the Mathematical Sciences
13 Journal of Symbolic Computation
13 Documenta Mathematica
12 Selecta Mathematica. New Series
12 The Ramanujan Journal
12 Forum of Mathematics, Sigma
11 Journal of Mathematical Physics
11 Publications of the Research Institute for Mathematical Sciences, Kyoto University
11 Rendiconti del Seminario Matematico della Università di Padova
11 Indagationes Mathematicae. New Series
10 Nagoya Mathematical Journal
10 Proceedings of the Japan Academy. Series A
10 Forum Mathematicum
10 Geometric and Functional Analysis. GAFA
10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Acta Arithmetica
9 Journal of Soviet Mathematics
9 LMS Journal of Computation and Mathematics
8 Journal of Geometry and Physics
8 Archiv der Mathematik
8 Bulletin de la Société Mathématique de France
8 Mémoires de la Société Mathématique de France. Nouvelle Série
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Functiones et Approximatio. Commentarii Mathematici
7 Mathematika
7 Monatshefte für Mathematik
7 Tohoku Mathematical Journal. Second Series
7 Journal of the European Mathematical Society (JEMS)
7 Algebraic & Geometric Topology
6 Nuclear Physics. B
6 Journal of Differential Equations
6 International Journal of Mathematics
6 Japanese Journal of Mathematics. 3rd Series
5 Communications in Algebra
5 Journal of Mathematical Analysis and Applications
5 Journal of Combinatorial Theory. Series A
5 Mathematische Nachrichten
5 Michigan Mathematical Journal
5 International Journal of Geometric Methods in Modern Physics
4 Communications on Pure and Applied Mathematics
4 Discrete Mathematics
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of the Mathematical Society of Japan
4 Memoirs of the American Mathematical Society
4 Pacific Journal of Mathematics
4 Bulletin des Sciences Mathématiques
4 Transformation Groups
4 Representation Theory
4 Journal of the Australian Mathematical Society
4 Milan Journal of Mathematics
4 Cryptography and Communications
4 Science China. Mathematics
4 Forum of Mathematics, Pi
4 Annales Mathématiques du Québec
3 Bulletin of the Australian Mathematical Society
3 Discrete Applied Mathematics
3 The Annals of Probability
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Canadian Journal of Mathematics
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 Applicable Algebra in Engineering, Communication and Computing
...and 112 more Serials
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Cited in 51 Fields

1,203 Number theory (11-XX)
996 Algebraic geometry (14-XX)
113 Field theory and polynomials (12-XX)
99 Group theory and generalizations (20-XX)
99 Several complex variables and analytic spaces (32-XX)
86 Special functions (33-XX)
85 Ordinary differential equations (34-XX)
73 Commutative algebra (13-XX)
49 Combinatorics (05-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
46 Topological groups, Lie groups (22-XX)
42 Probability theory and stochastic processes (60-XX)
40 Algebraic topology (55-XX)
36 Quantum theory (81-XX)
31 \(K\)-theory (19-XX)
26 Category theory; homological algebra (18-XX)
25 Associative rings and algebras (16-XX)
24 Information and communication theory, circuits (94-XX)
23 Dynamical systems and ergodic theory (37-XX)
22 Global analysis, analysis on manifolds (58-XX)
22 Computer science (68-XX)
20 Differential geometry (53-XX)
15 Nonassociative rings and algebras (17-XX)
14 Partial differential equations (35-XX)
14 Statistical mechanics, structure of matter (82-XX)
11 Manifolds and cell complexes (57-XX)
8 Difference and functional equations (39-XX)
8 Convex and discrete geometry (52-XX)
7 General and overarching topics; collections (00-XX)
6 Functions of a complex variable (30-XX)
6 Approximations and expansions (41-XX)
6 Abstract harmonic analysis (43-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
5 History and biography (01-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Geometry (51-XX)
4 Mathematical logic and foundations (03-XX)
4 Numerical analysis (65-XX)
3 Measure and integration (28-XX)
3 Integral transforms, operational calculus (44-XX)
3 Statistics (62-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
2 Relativity and gravitational theory (83-XX)
1 Real functions (26-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

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