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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Murty, M. Ram (Autor), Murty, V. Kumar (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Delhi : Springer India : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Temas:
Number theory.
Mathematics.
History.
Discrete mathematics.
Special functions.
Fourier analysis.
Algebra.
Number Theory.
History of Mathematical Sciences.
Discrete Mathematics.
Special Functions.
Fourier Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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