Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1891)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents (4 chapters)
Keywords
About this book
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.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Analytic Number Theory
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002
Authors: J. B. Friedlander, D. R. Heath-Brown, H. Iwaniec, J. Kaczorowski
Editors: Alberto Perelli, Carlo Viola
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/3-540-36363-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-540-36363-7Published: 15 September 2006
eBook ISBN: 978-3-540-36364-4Published: 10 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XI, 217
Topics: Number Theory, Algebraic Geometry