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Record Nr. |
UNINA9910783219203321 |
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Autore |
Bateman P. T |
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Titolo |
Analytic number theory [[electronic resource] ] : an introductory course / / Paul T. Bateman, Harold G. Diamond |
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Pubbl/distr/stampa |
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New Jersey, : World Scientific, c2004 |
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ISBN |
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1-281-87225-3 |
9786611872250 |
981-256-227-3 |
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Descrizione fisica |
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1 online resource (375 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Number theory |
Mathematical analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 353-354) and indexes. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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. |
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