Title Ramanujan 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

Published Providence, Rhode Island : American Mathematical Society, [2014] ©2014

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Description 1 online resource (ix, 174 pages) : illustrations (some color) Series Contemporary mathematics ; 627 Contemporary mathematics (American Mathematical Society) ; v. 627. Contents "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." "3. A transformation formula for elliptic hypergeometric series and its consequences""References"; "Convergence of random continued fractions"; "1. Introduction and main result"; "2. Proof of Theorem 1.2"; "3. Some consequences"; "References"; "Tensor product decomposition of Ì? () modules and identities"; "1. Introduction"; "2. Decomposition of (Î?â?€)âŠ? (Î?áæØ)"; "3. Generating Functions for Outer Multiplicities"; "4. Examples and Identities"; "References"; "Ramanujan, Robin, highly composite numbers, and the Riemann Hypothesis." Bibliography Includes bibliographical references Notes Print version record Subject Ramanujan Aiyangar, Srinivasa, 1887-1920. Ramanujan Aiyangar, Srinivasa, 1887-1920 Functions, Theta -- Congresses Lie algebras -- Congresses Functions, Theta Lie algebras Genre/Form Festschriften Conference papers and proceedings Festschriften. Form Electronic book Author Alladi, Krishnaswami, editor Garvan, Frank (Frank G.), 1955- editor. Yee, Ae Ja, 1971- editor. ISBN 9781470420390 1470420392

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