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Analytic number theory : an introductory course / Paul T. Bateman, Harold G. Diamond.
- Format:
- Book
- Author/Creator:
- Bateman, P. T. (Paul Trevier), 1919-2012.
- Language:
- English
- Subjects (All):
- Number theory.
- Mathematical analysis.
- Physical Description:
- 1 online resource (375 p.)
- Edition:
- 1st ed.
- Place of Publication:
- New Jersey : World Scientific, c2004.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- 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
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 353-354) and indexes.
- ISBN:
- 9786611872250
- 9781281872258
- 1281872253
- 9789812562272
- 9812562273
- OCLC:
- 475933041
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