Analytic Number Theory 3540363637 rar (3540363637)

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Author: J. B. Friedlander, D.R. Heath-Brown, H. Iwaniec, J. Kaczorowski

Publisher: Springer (2006)

Binding: Paperback, 216 pages

pricer: $59.95

ISBN-10: 3540363637

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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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