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Analytic Number Theory by John B. Friedlander & David Rodney Heath-Brown & Henryk Iwaniec
Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 11-18, 2002
Deals with several advanced results in analytic number theory. This book contains some achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. It also deals with counting integer solutions to Diophantine equations, using results from algebraic geometry and the geometry of numbers.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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| Author(s) : Henryk Iwaniec | Format : Paperback Book |
| ISBN-10 : 3540363637 | ISBN-13 : 9783540363637 |
| RRP : £30.50 | Best available price : £ / $ |
| Prices as of : BST check live prices | |
Product Details:
Series Title : Lecture Notes in Mathematics S.
Country Publication : Germany
Publication Date : 01/09/2006
Publisher : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Page Length : XI, 216mm
Page Size : 236mm