The Mathematical Legacy of Srinivasa Ramanujan

  • M. Ram Murty
  • V. Kumar Murty

Table of contents

  1. Front Matter
    Pages I-XI
  2. M. Ram Murty, V. Kumar Murty
    Pages 1-10
  3. M. Ram Murty, V. Kumar Murty
    Pages 11-23
  4. M. Ram Murty, V. Kumar Murty
    Pages 25-37
  5. M. Ram Murty, V. Kumar Murty
    Pages 39-66
  6. M. Ram Murty, V. Kumar Murty
    Pages 67-96
  7. M. Ram Murty, V. Kumar Murty
    Pages 97-107
  8. M. Ram Murty, V. Kumar Murty
    Pages 109-117
  9. M. Ram Murty, V. Kumar Murty
    Pages 119-127
  10. M. Ram Murty, V. Kumar Murty
    Pages 129-134
  11. M. Ram Murty, V. Kumar Murty
    Pages 135-147
  12. M. Ram Murty, V. Kumar Murty
    Pages 149-153
  13. M. Ram Murty, V. Kumar Murty
    Pages 155-171
  14. M. Ram Murty, V. Kumar Murty
    Pages E1-E1
  15. Back Matter
    Pages 173-184

About this book

Introduction

Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

 

Keywords

Mock Modular Forms Partition Function Probabilistic Number Theory Ramanujan's Conjectures The Circle Method

Authors and affiliations

  • M. Ram Murty
    • 1
  • V. Kumar Murty
    • 2
  1. 1.Department of MathematicsQueen's UniversityKingstonCanada
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-81-322-0770-2
  • Copyright Information Springer India 2013
  • Publisher Name Springer, India
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-81-322-0769-6
  • Online ISBN 978-81-322-0770-2
  • About this book