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Analytic Number Theory

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002

Language EnglishEnglish
Book Paperback
Book Analytic Number Theory J. B. Friedlander
Libristo code: 05273876
Publishers Springer, Berlin, November 2005
The four contributions collected in this volume deal with several advanced results in analytic... Full description
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The four contributions collected in this volume deal with several advanced results in analytic number theory. Friedlander s paper contains some recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. Heath-Brown's lecture notes mainly deal with counting integer solutions to Diophantine equations, using among other tools several results from algebraic geometry and from the geometry of numbers. Iwaniec s paper gives a broad picture of the theory of Siegel s zeros and of exceptional characters of L-functions, and gives a new proof of Linnik s theorem on the least prime in an arithmetic progression. Kaczorowski s article presents an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg, with a detailed exposition of several recent results.

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About the book

Full name Analytic Number Theory
Language English
Binding Book - Paperback
Date of issue 2006
Number of pages 217
EAN 9783540363637
ISBN 3540363637
Libristo code 05273876
Publishers Springer, Berlin
Weight 361
Dimensions 158 x 235 x 14
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