04416nam 2200625 450 991080736730332120180613001217.01-4704-2039-2(CKB)3150000000020209(EBL)3114289(SSID)ssj0001366612(PQKBManifestationID)11766216(PQKBTitleCode)TC0001366612(PQKBWorkID)11425909(PQKB)10913734(MiAaPQ)EBC3114289(RPAM)18071160(PPN)197102700(EXLCZ)99315000000002020920150416h20142014 uy 0engur|n|---|||||txtccrRamanujun 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, editorsProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (174 p.)Contemporary Mathematics,1098-3627 ;327"Conference in honor of Indian mathematician Srinivasa Ramanujan Aiyangar".1-4704-1078-8 Includes bibliographical references at the end of each chapters.""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""Contemporary mathematics (American Mathematical Society) ;627.Functions, ThetaCongressesLie algebrasCongressesFunctions, ThetaLie algebras512.705A1911A2511E2511F3311F3711P8414K2517B6730B7033D15mscGarvan Frank(Frank G.),1955-Alladi KrishnaswamiYee Ae Ja1971-MiAaPQMiAaPQMiAaPQBOOK9910807367303321Ramanujun 1253977699UNINA