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The Mathematical Legacy of Srinivasa Ramanujan Cover Image E-book E-book

The Mathematical Legacy of Srinivasa Ramanujan [electronic resource] / by M. Ram Murty, V. Kumar Murty.

Murty, M. Ram. (author.). Murty, V. Kumar. (author.). SpringerLink (Online service) (Added Author).

Record details

  • ISBN: 9788132207702
  • Physical Description: XI, 186 p. online resource.
  • Publisher: India : Springer India : 2013.

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Subject: Mathematics.
Algebra.
Fourier analysis.
Functions, special.
Combinatorics.
Number theory.
Mathematics.
Number Theory.
History of Mathematical Sciences.
Combinatorics.
Special Functions.
Fourier Analysis.
Algebra.

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Texto completo

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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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► MARC Record

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