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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics

• Full title: Analytic Number Theory
• Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002
• Author: J. B. Friedlander, D. R. Heath-Brown, H. Iwaniec, J. Kaczorowski
• Language: English
• Binding: Paperback
• Number of pages: 217
• EAN: 9783540363637
• ISBN: 3540363637
• ID: 05273876
• Publisher: Springer, Berlin
• Weight: 361 g
• Dimensions: 235 × 158 × 14 mm
• Published: 2006

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