Articoli correlati a Analytic Number Theory: Lectures given at the C.I.M.E....

Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries): 1891 - Brossura

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

 
9783540363637: Analytic Number Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11-18, 2002 (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries): 1891
Brossura
ISBN 10: 3540363637 ISBN 13: 9783540363637
Casa editrice: Springer, 2006

Sinossi

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 introduced by Selberg.

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Dalla quarta di copertina

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer
Data di pubblicazione
2006
Lingua
Inglese
ISBN 10 
3540363637
ISBN 13 
9783540363637
Rilegatura
Copertina flessibile
Numero di pagine
217
Redattore
Perelli A., Viola C.
Contatto del produttore
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