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＜電子ブック＞
Analytic Number Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 / by J. B. Friedlander, D.R. Heath-Brown, H. Iwaniec, J. Kaczorowski ; edited by A. Perelli, C. Viola
(C.I.M.E. Foundation Subseries. ISSN:29461820 ; 1891)

版	1st ed. 2006.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XI, 217 p : online resource
著者標目	*Friedlander, J. B author Heath-Brown, D.R author Iwaniec, H author Kaczorowski, J author Perelli, A editor Viola, C editor SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Algebraic geometry FREE:Number Theory FREE:Algebraic Geometry
一般注記	Producing Prime Numbers via Sieve Methods -- Counting Rational Points on Algebraic Varieties -- Conversations on the Exceptional Character -- Axiomatic Theory of L-Functions: the Selberg Class 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 HTTP:URL=https://doi.org/10.1007/3-540-36363-7

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