Rudnick, Zeév
Overview
Works:  7 works in 31 publications in 2 languages and 549 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, 958, Other, Opponent 
Publication Timeline
.
Most widely held works by
Zeév Rudnick
Equidistribution in number theory, an introduction : [proceedings of the NATO Advanced Study Institute on Equidistribution
in Number Theory, Montreal, Canada, 1122 July 2005] by
NATO Advanced Study Institute on Equidistribution in Number Theory(
)
23 editions published between 2006 and 2007 in English and Undetermined and held by 514 WorldCat member libraries worldwide
From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly interrelated or do not requirealotofbackgroundtounderstand
23 editions published between 2006 and 2007 in English and Undetermined and held by 514 WorldCat member libraries worldwide
From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series “Seminaire ´ de mathematiques ´ superieures”, ´ was held at the U versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on “Equidistribution in number theory” to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly interrelated or do not requirealotofbackgroundtounderstand
Equidistribution in number theory by NATO Advanced Study Institute on Equidistribution in Number Theory(
)
2 editions published in 2007 in English and held by 23 WorldCat member libraries worldwide
Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of Lfunctions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields, whose accessible presentations reveal fascinating links between seemingly disparate areas
2 editions published in 2007 in English and held by 23 WorldCat member libraries worldwide
Written for graduate students and researchers alike, this set of lectures provides a structured introduction to the concept of equidistribution in number theory. This concept is of growing importance in many areas, including cryptography, zeros of Lfunctions, Heegner points, prime number theory, the theory of quadratic forms, and the arithmetic aspects of quantum chaos. The volume brings together leading researchers from a range of fields, whose accessible presentations reveal fascinating links between seemingly disparate areas
Equidistribution in Number Theory, An Introduction by Andrew Granville(
)
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series "Seminaire ´ de mathematiques ´ superieures", ´ was held at the U versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on "Equidistribution in number theory" to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly interrelated or do not requirealotofbackgroundtounderstand
1 edition published in 2006 in English and held by 6 WorldCat member libraries worldwide
From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series "Seminaire ´ de mathematiques ´ superieures", ´ was held at the U versite ´ de Montreal, ´ on the subject Equidistribution in the theory of numbers. There were about one hundred participants from sixteen countries around the world. This volume presents details of the lecture series that were given at the school. Across the broad panorama of topics that constitute modern number t ory one nds shifts of attention and focus as more is understood and better questions are formulated. Over the last decade or so we have noticed incre ing interest being paid to distribution problems, whether of rational points, of zeros of zeta functions, of eigenvalues, etc. Although these problems have been motivated from very di?erent perspectives, one nds that there is much in common, and presumably it is healthy to try to view such questions as part of a bigger subject. It is for this reason we decided to hold a school on "Equidistribution in number theory" to introduce junior researchers to these beautiful questions, and to determine whether di?erent approaches can in uence one another. There are far more good problems than we had time for in our schedule. We thus decided to focus on topics that are clearly interrelated or do not requirealotofbackgroundtounderstand
Poincaré series by
Zeév Rudnick(
)
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 3 WorldCat member libraries worldwide
Hardylittlewood varieties and semisimple groups by
Mikhail Borovoi(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
Propriétés algébriques et analytiques de certaines suites indexées par les nombres premiers by
Lucile Devin(
)
1 edition published in 2017 in French and held by 1 WorldCat member library worldwide
In the first part of this Thesis, we study the sequence NX (p) [mod p] where X is a reduced separated scheme of finite type over Z,and NX (p) is the number of Fppoints of the reduction modulo p of X, for every prime p. Under some hypotheses on the geometry of X, we give a simple condition to ensure that this sequence is distinctat a positive proportion of indices from the zero sequence,or generalizations obtained by reduction modulo p of finitely many integers.We give a bound on average over a family of hyperelliptic curves for the least prime p such that NX (p) [mod p] avoids the reductionmodulo p of finitely many fixed integers.The second part deals with generalizations of Chebyshev's bias.We consider an Lfunction satisfying some analytic properties that generalize those satisfied by Dirichlet Lfunctions.We study the sequence of coefficients a_p as p runs through the set of prime numbers.Precisely, we study the sign of the summatory function of the Fourier coefficients of the Lfunction.Under some classical conditions, we show that this function admits a limiting logarithmic distribution.Under stronger hypotheses, we prove regularity, symmetry and get information about the support of this distribution
1 edition published in 2017 in French and held by 1 WorldCat member library worldwide
In the first part of this Thesis, we study the sequence NX (p) [mod p] where X is a reduced separated scheme of finite type over Z,and NX (p) is the number of Fppoints of the reduction modulo p of X, for every prime p. Under some hypotheses on the geometry of X, we give a simple condition to ensure that this sequence is distinctat a positive proportion of indices from the zero sequence,or generalizations obtained by reduction modulo p of finitely many integers.We give a bound on average over a family of hyperelliptic curves for the least prime p such that NX (p) [mod p] avoids the reductionmodulo p of finitely many fixed integers.The second part deals with generalizations of Chebyshev's bias.We consider an Lfunction satisfying some analytic properties that generalize those satisfied by Dirichlet Lfunctions.We study the sequence of coefficients a_p as p runs through the set of prime numbers.Precisely, we study the sign of the summatory function of the Fourier coefficients of the Lfunction.Under some classical conditions, we show that this function admits a limiting logarithmic distribution.Under stronger hypotheses, we prove regularity, symmetry and get information about the support of this distribution
Quantum unique ergodicity for parabolic maps by Jens Marklof(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Audience Level
0 

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Related Identities
 Granville, Andrew Author Editor
 NATO Advanced Study Institute on Equidistribution in Number Theory
 NATO Advanced Study Institute on Equidistribution in Number Theory: Montréal, Québec) : 2005
 Chenevier, Gaëtan Opponent
 Michel, Philippe (mathématicien) Opponent
 Laboratoire de mathématiques d'Orsay
 Fourvy, Étienne Opponent
 Jouve, Florent (1978....). Opponent Thesis advisor
 Brumley, Farrell Opponent
 Université ParisSaclay Degree grantor