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The Mathematical Legacy of Srinivasa Ramanujan

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...

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Bibliographic Details
Main Authors: Murty, M. Ram, Murty, V. Kumar (Author)
Format: eBook
Language:English
Published: New Delhi Springer India 2013, 2013
Edition:1st ed. 2013
Subjects:
Number Theory
Special Functions
Fourier Analysis
History
Algebra
Discrete Mathematics
Mathematics
History Of Mathematical Sciences
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Chapter 1. The Legacy of Srinivasa Ramanujan
  • Chapter 2. The Ramanujan tau function
  • Chapter 3. Ramanujan’s conjecture and l-adic representations
  • Chapter 4. The Ramanujan conjecture from GL(2) to GL(n)
  • Chapter 5. The circle method
  • Chapter 6. Ramanujan and transcendence
  • Chapter 7. Arithmetic of the partition function
  • Chapter 8. Some nonlinear identities for divisor functions
  • Chapter 9. Mock theta functions and mock modular forms
  • Chapter 10. Prime numbers and highly composite numbers
  • Chapter 11. Probabilistic number theory
  • Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function
  • Bibliography
  • Index

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