Book contents
- Frontmatter
- Contents
- Preface
- Notations, Cross-references, References
- 1 Historical introduction
- 2 The Poisson Summation Formula and the functional equation
- 3 The Hadamard Product Formula and ‘explicit formulae’ of prime number theory
- 4 The zeros of the zeta-function and the Prime Number Theorem
- 5 The Riemann Hypothesis and the Lindelöf Hypothesis
- 6 The approximate functional equation
- Appendices
- 1 Fourier theory
- 2 The Mellin transform
- 3 An estimate for certain integrals
- 4 The gamma-function
- 5 Integral functions of finite order
- 6 Borel–Caratheodory Theorems
- 7 Littlewood's Theorem
- Bibliography
- Index
3 - An estimate for certain integrals
Published online by Cambridge University Press: 05 August 2012
Book contents
- Frontmatter
- Contents
- Preface
- Notations, Cross-references, References
- 1 Historical introduction
- 2 The Poisson Summation Formula and the functional equation
- 3 The Hadamard Product Formula and ‘explicit formulae’ of prime number theory
- 4 The zeros of the zeta-function and the Prime Number Theorem
- 5 The Riemann Hypothesis and the Lindelöf Hypothesis
- 6 The approximate functional equation
- Appendices
- 1 Fourier theory
- 2 The Mellin transform
- 3 An estimate for certain integrals
- 4 The gamma-function
- 5 Integral functions of finite order
- 6 Borel–Caratheodory Theorems
- 7 Littlewood's Theorem
- Bibliography
- Index
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- An Introduction to the Theory of the Riemann Zeta-Function , pp. 127 - 129Publisher: Cambridge University PressPrint publication year: 1988