Analytic Number Theory Lectures Given at the C. I. M. E. Summer School Held in Cetraro, Italy, July 11-18 2002 |
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Author:
| Friedlander, J. B. Heath-Brown, D. R. Iwaniec, H. Kaczorowski, J. |
Editor:
| Perelli, A. Viola, C. |
Series title: | Lecture Notes in Mathematics Ser. |
ISBN: | 978-3-540-36363-7 |
Publication Date: | Sep 2006 |
Publisher: | Springer Berlin / Heidelberg
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Imprint: | Springer |
Book Format: | Paperback |
List Price: | USD $69.95USD $69.95 |
Book Description:
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The four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions...
More DescriptionThe four papers collected in this book discuss advanced results in analytic number theory, including recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials; counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers; the theory of Siegel's zeros and of exceptional characters of L-functions; and an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg.