Nicholas Katz

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All published works

Action	Title	Year	Authors
+ PDF	Zeroes of zeta functions and symmetry	1999	Nicholas Michael Katz Peter Sarnak
+	WAVELETS: CALDERÓN-ZYGMUND AND MULTILINEAR OPERATORS (Cambridge Studies in Advanced Mathematics 48)	1999	Nicholas Katz
+	Distribution of low-lying Frobenius eigenvalues in various families	1998	Nicholas Katz Peter Sarnak
+	Large N limits and Fredholm determinants	1998	Nicholas Katz Peter Sarnak
+	Statements of the main results	1998	Nicholas Katz Peter Sarnak
+	GUE discrepancies in various families	1998	Nicholas Katz Peter Sarnak
+	Monodromy of families of curves	1998	Nicholas Katz Peter Sarnak
+	Reduction steps in proving the main theorems	1998	Nicholas Katz Peter Sarnak

Common Coauthors

Coauthor	Papers Together
Peter Sarnak	7

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Points on Shimura curves rational over number fields.	1986	Bruce W. Jordan	1
+	Real Points on Shimura Curves	1983	A. P. Ogg	1
+ PDF	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	1
+ PDF	On large Picard groups and the Hasse Principle for curves and K3 surfaces	1996	Daniel Coray Constantin Manoil	1
+	Multiplicative Number Theory	1980	H. Davenport	1
+	Conjectures on elliptic curves over quadratic fields	1979	Dorian Goldfeld	1
+ PDF	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	1
+	Pair Correlation of Zeros and Primes in Short Intervals	1987	D. A. Goldston Hugh L. Montgomery	1
+	Basic Number Theory	1967	André Weil	1
+	Topics in Galois Theory	2011	Jean-Pierre Serre	1
+	None	1996	Dan Abramovich	1
+	Topics in Multiplicative Number Theory	1971	Hugh L. Montgomery	1
+	On cusp forms for co-finite subgroups ofPSL(2,?)	1985	Ralph S. Phillips Peter Sarnak	1
+ PDF	Shimura subgroups of Jacobians of Shimura curves	1993	San Ling	1
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	1
+	ON THE NUMBER OF POINTS OF A HYPERELLIPTIC CURVE OVER A FINITE PRIME FIELD	1969	S. A. Stepanov	1
+ PDF	Bielliptic curves and symmetric products	1991	Joe Harris Joe Silverman	1
+	The average rank of elliptic curves I	1992	Armand Brumer	1
+	Differential Geometry, Lie Groups, and Symmetric Spaces	2001	Sigurđur Helgason	1
+	Bielliptic Modular Curves	1999	Francesc Bars	1
+ PDF	Small zeros of quadratic <i>L</i>-functions	1993	Ali E. Özlük C. Snyder	1
+	Random Matrices in Physics	1967	E. P. Wigner	1
+ PDF	Numerical computations concerning the ERH	1993	Robert Rumely	1
+	Random matrix theory and the Riemann zeros. I. Three- and four-point correlations	1995	E. Bogomolny Jonathan P. Keating	1
+	The rank of quotients of J0(N)	1999	Jeffrey M. VanderKam	1
+	Topics in Analytic Number Theory	1973	Hans Rademacher	1
+	Sur la loi limite de l'espacement des valeurs propres d'une matrice ale´atoire	1961	M. Gaudin	1
+ PDF	The square-free sieve and the rank of elliptic curves	1991	Fernando Gouvêa Barry Mazur	1
+ PDF	The behavior of the Mordell-Weil group of elliptic curves	1990	Armand Brumer Francis McGuinness	1
+ PDF	Averages of twisted elliptic L-functions	1997	Alberto Perelli Jacek Pomykała	1
+	The critical order of vanishing of automorphicL-functions with large level	1995	William Duke	1
+	On the density of Eigenvalues of a random matrix	1960	M. L. Mehta M. Gaudin	1
+	Statistical Theory of the Energy Levels of Complex Systems. I	1962	Freeman J. Dyson	1
+	Numerical investigations related to the L-series of certain elliptic curves.	1987	Don Zagier Gerhard Kramarz	1
+ PDF	On the Riemann Hypothesis in Function-Fields	1941	André Weil	1
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	1
+	Curves with infinitely many points of fixed degree	1994	Gerhard Frey	1
+ PDF	The size of Selmer groups for the congruent number problem	1993	D. R. Heath‐Brown	1
+ PDF	Modular curves and the eisenstein ideal	1977	Barry Mazur	1
+	Local diophantine properties of Shimura curves	1985	Bruce W. Jordan Ron Livné	1
+	Analytische Zahlentheorie in K�rpern der Charakteristikp	1931	Friedrich Schmidt	1
+	Integral models of certain Shimura curves	1997	Kevin Buzzard	1
+	Bornes pour la torsion des courbes elliptiques sur les corps de nombres	1996	Lo x EF c Merel	1
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura	1
+ PDF	Affine cohomological transforms, perversity, and monodromy	1993	Nicholas M. Katz	1
+	La conjecture de Weil. I	1974	Pierre Deligne	1
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	1
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	1
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak	1
+	Evidence for a Cohomological Approach to Analytic Number Theory	1994	Christopher Deninger	1