Ramanujun 125 : international conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5-7, 2012, University of Florida, Gainesville, Florida / / Krishnaswami Alladi, Frank Garvan, Ae Ja Yee, editors

• Record Nr.: UNINA9910807367303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2014; ©2014
• ISBN: 1-4704-2039-2
• Descrizione fisica: 1 online resource (174 p.)
• Collana: Contemporary Mathematics, , 1098-3627 ; ; 327
• Classificazione: 05A1911A2511E2511F3311F3711P8414K2517B6730B7033D15
• Disciplina: 512.7
• Soggetti: Functions, Theta; Lie algebras
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: "Conference in honor of Indian mathematician Srinivasa Ramanujan Aiyangar".
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: ""Cover""; ""Title page""; ""Contents""; ""Preface""; ""Hecke grids and congruences for weakly holomorphic modular forms""; ""1. Introduction""; ""2. Preliminaries""; ""3. Hecke grids on Î?*(1)""; ""4. Hecke grids on Î?*(2)""; ""5. Hecke grids on Î?*(3)""; ""6. Hecke grids on Î?*(4)""; ""References""; ""Knots and -series""; ""1. Introduction""; ""2. Background""; ""3. Proof of (1.5)""; ""4. Proof of (1.6)""; ""5. Proof of (1.7)""; ""6. The -series for the 8â?? knot.""; ""7. Conclusion""; ""References""; ""A partition inequality involving products of two -Pochhammer symbols""; ""1. Introduction""""2. Notation""; ""3. The Injection""; ""4. The Inverse""; ""5. Examples""; ""6. Proofs of the Dual and the Generalization""; ""7. Two Invariants of the Injections""; ""8. Conclusion""; ""Acknowledgements""; ""References""; ""Analogues of Koshliakovâ€?s formula""; ""1. Introduction""; ""2. Preliminary Results""; ""3. Analogues of Koshliakovâ€?s Formula""; ""References""; ""How to prove Ramanujanâ€?s -continued fractions""; ""1. Introduction""; ""2. Eulerâ€?s approach""; ""3. The Rogers-Ramanujan Continued Fraction""; ""4. Convergence matters""; ""5. More continued fractions by Eulerâ€?s approach""""6. The role of ; transformation formulas""; ""7. A dose of insight into algebraical formulae""; ""8. Infinite products as continued fractions""; ""9. Conclusion""; ""References""; ""A nonsingular â?? curve of genus 4""; ""1. Introduction""; ""2. Definition of the Surface""; ""3. Inversion of Thomaeâ€?s Formulas and Other Identities""; ""References""; ""Ramanujanâ€?s radial limits""; ""1. Introduction and Statement of Results""; ""Acknowledgements""; ""2. Sketch of the proof of Theorem 1.2""; ""3. Proof of Theorem 1.3""; ""4. Discussion related to Theorem 1.3""""References""; ""An identity that may have changed the course of history""; ""1. Introduction""; ""2. Jacobiâ€?s triple product identity""; ""3. An important special case of Jacobiâ€?s triple product identity""; ""4. Obtaining Ramanujanâ€?s identity""; ""5. Additional comments""; ""6. Notice""; ""References""; ""The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangleâ€?""; ""1. Introduction""; ""2. The main result""; ""1. Mathematical Background""