Analytic number theory : lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 11-18, 2002

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...

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Detalhes bibliográficos
Autor principal: Friedlander, John B., 1941-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg 2006.
Cham : Springer Nature
Colecção:C.I.M.E. Foundation Subseries 1891
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Nota: utre auteur : Jerzy Kaczorowski
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Edition sous un autre format:• Analytic Number Theory, Texte imprimé, 9783540826699
• Analytic number theory, lectures given at the C.I.M.E. Summer school held in Cetraro, Italy, July 11-18, 2002, J.B. Friedlander, D. R. Heath-Brown, H. Iwaniec, ... [et al.], Berlin, Springer, 2006, 1 vol. (XI-212 p.), Lecture notes in mathematics, 3-540-36363-7
Descrição
Resumo: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.
Descrição do item:utre auteur : Jerzy Kaczorowski
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540363644 (en ligne)
ISSN:2946-1820
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017