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Analytic Number Theory A Tribute to Gauss and Dirichlet~tqw~ darksiderg

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Analytic Number Theory: A Tribute to Gauss and Dirichlet
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Type.................: Ebook
Part Size............: 2,697,481 bytes




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Posted by............: ~tqw~

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Release Notes
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Articles in this volume are based on talks given at the Gauss-Dirichlet
Conference held in Gottingen on June 20, 2005. The conference commemorated the
150th anniversary of the death of C.-F. Gauss and the 200th anniversary of the
birth of J.-L. Dirichlet. The volume begins with a definitive summary of the
life and work of Dirichlet and continues with thirteen papers by leading experts
on research topics of current interest in number theory that were directly
influenced by Gauss and Dirichlet. Among the topics are the distribution of
primes (long arithmetic progressions of primes and small gaps between primes),
class groups of binary quadratic forms, various aspects of the theory of $L$-
functions, the theory of modular forms, and the study of rational and integral
solutions to polynomial equations in several variables.

Table Of Contents

Foreword vii
The Life and Work of Gustav Lejeune Dirichlet (1805.1859) 1
An overview of Maninfs conjecture for del Pezzo surfaces 39
The density of integral solutions for pairs of diagonal cubic equations 57
Second moments of GL2 automorphic L-functions 77
CM points and weight 3/2 modular forms 107
The path to recent progress on small gaps between primes 129
Negative values of truncations to L(1, ƒÔ) 141
Long arithmetic progressions of primes 149
Heegner points and non-vanishing of Rankin/Selberg L-functions 169
Singular moduli generating functions for modular curves and surfaces 185
Rational points of bounded height on threefolds 207
Reciprocal Geodesics 217
The fourth moment of Dirichlet L-functions 239
The Gauss Class-Number Problems 247

Product Details

* ISBN: 0821843079
* ISBN-13: 9780821843079
* Format: Paperback, 256pp
* Publisher: American Mathematical Society
* Pub. Date: September 2007

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