Un cours de théorie analytique des nombres / Emmanuel Kowalski

Auteur principal : Kowalski, Emmanuel, 1969-, AuteurType de document : MonographieCollection : Cours spécialisés, 13Langue : français.Pays: France.Éditeur : Paris : Société Mathématique de France, 2004Description : 1 vol. (IX-232 p.) ; 24 cmISBN: 9782856291610.ISSN: 1284-6090.Bibliographie : Bibliogr. p. [225]-229. Index.Sujet MSC : 11N05, Multiplicative number theory, Distribution of primes
11Mxx, Number theory - Zeta and L-functions: analytic theory
11N35, Multiplicative number theory, Sieves
11N36, Multiplicative number theory, Applications of sieve methods
11N75, Multiplicative number theory, Applications of automorphic functions and forms to multiplicative problems
11Fxx, Number theory - Discontinuous groups and automorphic formsEn-ligne : Résumé
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This most excellent book presents modern multiplicative analytic number theory to students having essentially no background on the subject. The aim – and the success – is to bring them to get a feel for sieve theory, for the use of bilinear forms in prime number theory and for automorphic forms. The journey starts with usual Dirichlet series, less usual smoothing processes, continues with Dirichlet characters, functional equation for Dirichlet L-series, to reach very quickly the prime number theorem in arithmetic progressions. (Zentralblatt)

Bibliogr. p. [225]-229. Index

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