| 书目名称 | Ramanujan‘s Lost Notebook | | 副标题 | Part I | | 编辑 | George E. Andrews,Bruce Berndt | | 视频video | | | 概述 | Most of this material has never before been published in book form.Includes letters to G.H. Hardy.Authors have organized, and provided commentary on, Ramanujan‘s results | | 图书封面 |  | | 描述 | .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 ofthe 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 part | | 出版日期 | Book 2005 | | 关键词 | Finite; Identity; Modular form; equation; function | | 版次 | 1 | | doi | https://doi.org/10.1007/0-387-28124-X | | isbn_softcover | 978-1-4419-2062-1 | | isbn_ebook | 978-0-387-28124-7 | | copyright | Springer-Verlag New York 2005 |
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发表于 2025-3-21 19:44:06
