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Ramanujan's lost notebook : part i /

"In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, 'Ramanujan's lost notebook'. Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The 'lost notebook' contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms."--Publisher's description.

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  • ""In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, 'Ramanujan's lost notebook'. Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The 'lost notebook' contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions. More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms."--Publisher's description."@en
  • "Part of the four volumes on Ramanujan's lost notebook, this book addresses topics such as q-series, Eisenstein series, and theta functions."@en
  • "This is the first of approximately four volumes devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook."@en
  • "In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, 'Ramanujan's lost notebook.' Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujanâs lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988. The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogersâ"Ramanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume:'Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited.' - MathSciNetReview from the first volume:'Andrews and Berndt are to be congratulated on the job they are doing. This is the first step ... on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete.' - Gazette of the Australian Mathematical Society."@en
  • "In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work. Mathematicians are probably several decades away from a complete understanding of those functions.; More than half of the material in the book is on q-series, including mock theta functions; the remaining part deals with theta function identities, modular equations, incomplete elliptic integrals of the first kind and other integrals of theta functions, Eisenstein series, particular values of theta functions, the Rogers-Ramanujan continued fraction, other q-continued fractions, other integrals, and parts of Hecke's theory of modular forms."@en

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  • "Electronic books."
  • "Electronic books."@en
  • "Biography"
  • "Biography"@en
  • "Llibres electrònics."
  • "Online-Publikation"
  • "Biography."
  • "Biography."@en

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  • "Ramanujan's lost notebook / Part."
  • "Ramanujan's lost notebook : part i /"@en
  • "Ramanujan's Lost Notebook : Part I /"
  • "Ramanujan's lost notebook. Part 1"
  • "Ramanujan's Lost notebook / Part I."
  • "Ramanujan's Lost Notebook /"
  • "Ramanujan's Lost Notebook Part III"
  • "Ramanujan's lost notebook. Pt. 2 /"
  • "Ramanujan's lost notebook"
  • "Ramanujan's lost notebook"@en
  • "Ramanujan's Lost Notebook/ 2, Part II."
  • "Ramanujan's Lost Notebook Part II /"
  • "Ramanujan's lost notebook /"
  • "Ramanujan's lost notebook /"@en
  • "Ramanujan's Lost Notebook : Part II /"
  • "Ramanujan's Lost Notebook."@en
  • "Ramanujan's Lost Notebook/ 3, Part III."
  • "Ramanujan's lost notebook Pt. I."@en
  • "Ramanujan's lost notebook Part II /"
  • "Ramanujan's Lost Notebook Part III."@en
  • "Ramanujan's Lost Notebook Part III /"
  • "Ramanujan's lost notebook / 1."
  • "Ramanujan's Lost Notebook/ 1, Part I."
  • "Ramanujan's lost notebook: Part 2 /"
  • "Ramanujan's Lost Notebook : Part III /"
  • "Ramanujan's lost notebook Pt. II."
  • "Ramanujan's lost notebook. Part 1 /"
  • "Ramanujan's Lost Notebook"@en
  • "Ramanujan's Lost Notebook Part I /"
  • "Ramanujan's Lost Notebook Part I /"@en
  • "Ramanujan's lost notebook. Part I"@en
  • "Ramanujan's lost notebook. Part I"
  • "Ramanujan's Lost Notebook Part I."@en

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