2013

The Mathematical Legacy of Srinivasa Ramanujan

Authors:

ISBN: 978-81-322-0769-6 (Print) 978-81-322-0770-2 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XI

  2. No Access

    Book Chapter

    Pages 1-10

    The Legacy of Srinivasa Ramanujan

  3. No Access

    Book Chapter

    Pages 11-23

    The Ramanujan τ-Function

  4. No Access

    Book Chapter

    Pages 25-37

    Ramanujan’s Conjecture and -Adic Representations

  5. No Access

    Book Chapter

    Pages 39-66

    The Ramanujan Conjecture from GL(2) to GL(n)

  6. No Access

    Book Chapter

    Pages 67-96

    The Circle Method

  7. No Access

    Book Chapter

    Pages 97-107

    Ramanujan and Transcendence

  8. No Access

    Book Chapter

    Pages 109-117

    Arithmetic of the Partition Function

  9. No Access

    Book Chapter

    Pages 119-127

    Some Nonlinear Identities for Divisor Functions

  10. No Access

    Book Chapter

    Pages 129-134

    Mock Theta Functions and Mock Modular Forms

  11. No Access

    Book Chapter

    Pages 135-147

    Prime Numbers and Highly Composite Numbers

  12. No Access

    Book Chapter

    Pages 149-153

    Probabilistic Number Theory

  13. No Access

    Book Chapter

    Pages 155-171

    The Sato–Tate Conjecture for the Ramanujan τ-Function

  14. No Access

    Book Chapter

    Pages E1-E1

    Erratum to: The Ramanujan τ-Function

  15. Back Matter

    Pages 173-184