| 书目名称 | Ramanujan‘s Lost Notebook | | 副标题 | Part III | | 编辑 | George E. Andrews,Bruce C. Berndt | | 视频video | | | 概述 | Third volume of a series of five volumes including some of Ramanujan‘s deepest work in the last year of his life.Contains material of which mathematicians currently lack a complete understanding.Focus | | 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..This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.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 Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions..Reviewfrom 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 | | 出版日期 | Book 2012 | | 关键词 | Ramanujan tau-Function; Rogers–Ramanujan functions; highly composite numbers; ordinary partition functi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-3810-6 | | isbn_softcover | 978-1-4899-9497-4 | | isbn_ebook | 978-1-4614-3810-6 | | copyright | Springer Science+Business Media New York 2012 |
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发表于 2025-3-21 16:46:54
