Book contents
- Frontmatter
- Contents
- Foreword
- Speakers
- 1 Subvarieties of Linear Tori and the Unit Equation A Survey
- 2 Remarks on the Analytic Complexity of Zeta Functions
- 3 Normal Distribution of Zeta Functions and Applications
- 4 Goldbach Numbers and Uniform Distribution
- 5 The Number of Algebraic Numbers of Given Degree Approximating a Given Algebraic Number
- 6 The Brun–Titchmarsh Theorem
- 7 A Decomposition of Riemann's Zeta-Function
- 8 Multiplicative Properties of Consecutive Integers
- 9 On the Equation (xm – 1)/(x – 1) = yq with x Power
- 10 Congruence Families of Exponential Sums
- 11 On Some Results Concerning the Riemann Hypothesis
- 12 Mean Values of Dirichlet Series via Laplace Transforms
- 13 The Mean Square of the Error Term in a Genelarization of the Dirichlet Divisor Problem
- 14 The Goldbach Problem with Primes in Arithmetic Progressions
- 15 On the Sum of Three Squares of Primes
- 16 Trace Formula over the Hyperbolic Upper Half Space
- 17 Modular Forms and the Chebotarev Density Theorem II
- 18 Congruences between Modular Forms
- 19 Regular Singularities in G-Function Theory
- 20 Spectral Theory and L-functions
- 21 Irrationality Criteria for Numbers of Mahler's Type
- 22 Hypergeometric Functions and Irrationality Measures
- 23 Forms in Many Variables
- 24 Remark on the Kuznetsov Trace Formula
10 - Congruence Families of Exponential Sums
Published online by Cambridge University Press: 08 April 2010
Edited by
Book contents
- Frontmatter
- Contents
- Foreword
- Speakers
- 1 Subvarieties of Linear Tori and the Unit Equation A Survey
- 2 Remarks on the Analytic Complexity of Zeta Functions
- 3 Normal Distribution of Zeta Functions and Applications
- 4 Goldbach Numbers and Uniform Distribution
- 5 The Number of Algebraic Numbers of Given Degree Approximating a Given Algebraic Number
- 6 The Brun–Titchmarsh Theorem
- 7 A Decomposition of Riemann's Zeta-Function
- 8 Multiplicative Properties of Consecutive Integers
- 9 On the Equation (xm – 1)/(x – 1) = yq with x Power
- 10 Congruence Families of Exponential Sums
- 11 On Some Results Concerning the Riemann Hypothesis
- 12 Mean Values of Dirichlet Series via Laplace Transforms
- 13 The Mean Square of the Error Term in a Genelarization of the Dirichlet Divisor Problem
- 14 The Goldbach Problem with Primes in Arithmetic Progressions
- 15 On the Sum of Three Squares of Primes
- 16 Trace Formula over the Hyperbolic Upper Half Space
- 17 Modular Forms and the Chebotarev Density Theorem II
- 18 Congruences between Modular Forms
- 19 Regular Singularities in G-Function Theory
- 20 Spectral Theory and L-functions
- 21 Irrationality Criteria for Numbers of Mahler's Type
- 22 Hypergeometric Functions and Irrationality Measures
- 23 Forms in Many Variables
- 24 Remark on the Kuznetsov Trace Formula
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
- Analytic Number Theory , pp. 127 - 138Publisher: Cambridge University PressPrint publication year: 1997
- 2
- Cited by