Book contents
- Frontmatter
- Contents
- Preface
- List of notation
- 1 Dirichlet series: I
- 2 The elementary theory of arithmetic functions
- 3 Principles and first examples of sieve methods
- 4 Primes in arithmetic progressions: I
- 5 Dirichlet series: II
- 6 The Prime Number Theorem
- 7 Applications of the Prime Number Theorem
- 8 Further discussion of the Prime Number Theorem
- 9 Primitive characters and Gauss sums
- 10 Analytic properties of the zeta function and L-functions
- 11 Primes in arithmetic progressions: II
- 12 Explicit formulæ
- 13 Conditional estimates
- 14 Zeros
- 15 Oscillations of error terms
- APPENDICES
- Name index
- Subject index
10 - Analytic properties of the zeta function and L-functions
Published online by Cambridge University Press: 26 February 2010
Book contents
- Frontmatter
- Contents
- Preface
- List of notation
- 1 Dirichlet series: I
- 2 The elementary theory of arithmetic functions
- 3 Principles and first examples of sieve methods
- 4 Primes in arithmetic progressions: I
- 5 Dirichlet series: II
- 6 The Prime Number Theorem
- 7 Applications of the Prime Number Theorem
- 8 Further discussion of the Prime Number Theorem
- 9 Primitive characters and Gauss sums
- 10 Analytic properties of the zeta function and L-functions
- 11 Primes in arithmetic progressions: II
- 12 Explicit formulæ
- 13 Conditional estimates
- 14 Zeros
- 15 Oscillations of error terms
- APPENDICES
- Name index
- Subject index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Multiplicative Number Theory IClassical Theory, pp. 326 - 357Publisher: Cambridge University PressPrint publication year: 2006