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
- A The Riemann–Stieltjes integral
- B Bernoulli numbers and the Euler–MacLaurin summation formula
- C The gamma function
- D Topics in harmonic analysis
- Name index
- Subject index
C - The gamma function
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
- A The Riemann–Stieltjes integral
- B Bernoulli numbers and the Euler–MacLaurin summation formula
- C The gamma function
- D Topics in harmonic analysis
- Name index
- Subject index
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- Multiplicative Number Theory IClassical Theory, pp. 520 - 534Publisher: Cambridge University PressPrint publication year: 2006