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

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 lec...

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Bibliographic Details
Main Authors:	Friedlander, J. B. (Author), Heath-Brown, D. R. (Author), Iwaniec, H. (Author), Kaczorowski, J. (Author)
Corporate Author:	SpringerLink (Online service)
Other Authors:	Perelli, A. (Alberto) (Editor), Viola, Carlo (Editor)
Format:	eBook
Language:	English
Published:	Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
Series:	Lecture notes in mathematics (Springer-Verlag). 1891.
Subjects:	Mathematics. Algebraic Geometry. Number Theory. Geometry, Algebraic. Number theory.
Online Access:	Connect to the full text of this electronic book

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Summary:	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.
Item Description:	Electronic resource.
Physical Description:	1 online resource (XI, 217 pages)
ISBN:	9783540363644
ISSN:	0075-8434 ;
DOI:	10.1007/3-540-36363-7