Analytic number theory [[electronic resource] ] : an introductory course / / Paul T. Bateman, Harold G. Diamond

• Autore: Bateman P. T
• Pubblicazione: New Jersey, : World Scientific, c2004
• Descrizione fisica: 1 online resource (375 p.)
• Disciplina: 512.73
• Soggetto topico: Number theory; Mathematical analysis
• Altri autori: DiamondHarold G. <1940->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 353-354) and indexes.
• Nota di contenuto: Analytic Number Theory: An Introductory Course; Preface; Contents; Chapter 1 Introduction; Chapter 2 Calculus of Arithmetic Functions; Chapter 3 Summatory Functions; Chapter 4 The Distribution of Prime Numbers; Chapter 5 An Elementary Proof of the P.N.T.; Chapter 6 Dirichlet Series and Mellin Transforms; Chapter 7 Inversion Formulas; Chapter 8 The Riemann Zeta Function; Chapter 9 Primes in Arithmetic Progressions; Chapter 10 Applications of Characters; Chapter 11 Oscillation Theorems; Chapter 12 Sieves; Chapter 13 Application of Sieves; Appendix A Results from Analysis and Algebra ; BibliographyIndex of Names and Topics; Index of Symbols
• Sommario/riassunto: This valuable book focuses on a collection of powerful methods ofanalysis that yield deep number-theoretical estimates. Particularattention is given to counting functions of prime numbers andmultiplicative arithmetic functions. Both real variable (""elementary"")and complex variable (""analytic"") methods are employed.
• Titolo autorizzato: Analytic number theory
• ISBN: 1-281-87225-3; 9786611872250; 981-256-227-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910783219203321
• Lo trovi qui: Univ. Federico II