Topics in Analytic Number Theory

Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 Bernoulli Polynomials and Bernoulli Numbers
3. Altmetric Badge
   Chapter 2 The Euler-MacLaurin Sum Formula
4. Altmetric Badge
   Chapter 3 The Γ -function and Mellin’s Theorem
5. Altmetric Badge
   Chapter 4 The Phragmén-Lindelöf Theorem
6. Altmetric Badge
   Chapter 5 The Poisson Sum Formula and Applications
7. Altmetric Badge
   Chapter 6 The Riemann ζ-function
8. Altmetric Badge
   Chapter 7 About the Prime-number Theorem and the Zeros of the ζ-function
9. Altmetric Badge
   Chapter 8 The Eisenstein Series
10. Altmetric Badge
    Chapter 9 The Transformation of log η(τ) and the Theory of the Dedekind Sums
11. Altmetric Badge
    Chapter 10 The ϑ-functions
12. Altmetric Badge
    Chapter 11 Elliptic Functions and their Applications to Number Theory
13. Altmetric Badge
    Chapter 12 Formal Power Series and the Theory of Partitions
14. Altmetric Badge
    Chapter 13 Ramanujan’s Congruences and Identities
15. Altmetric Badge
    Chapter 14 Analytic Theory of Partitions
16. Altmetric Badge
    Chapter 15 Application of the Circle Method to Modular Forms of Positive Dimension