The Mathematical Legacy of Srinivasa Ramanujan

• Κύριοι συγγραφείς: Murty, M. Ram (Συγγραφέας), Murty, V. Kumar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: India : Springer India : Imprint: Springer, 2013.
• Θέματα: Mathematics.; Algebra.; Fourier analysis.; Special functions.; History.; Number theory.; Combinatorics.; Number Theory.; History of Mathematical Sciences.; Special Functions.; Fourier Analysis.

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...

Πίνακας περιεχομένων:

• 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.