Analytic number theory : an introductory course /
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 ("a...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
World Scientific,
2004
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| Local Note: | ProQuest Ebook Central |
Table of 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.
