书目名称 | Ramanujan‘s Lost Notebook |
副标题 | Part IV |
编辑 | George E. Andrews,Bruce C. Berndt |
视频video | |
概述 | Fourth 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.Focu |
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 fourth of five volumes that the authors plan to write on Ramanujan’s lost notebook. In contrast to the first three books on Ramanujan‘s Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysisand prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved cir |
出版日期 | Book 2013 |
关键词 | Bessel Functions; Euler‘s constant; Fourier transforms; Guinand‘s Formula; Koshliakov‘s Formula; Mellin t |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-4081-9 |
isbn_softcover | 978-1-4899-9175-1 |
isbn_ebook | 978-1-4614-4081-9 |
copyright | Springer Science+Business Media New York 2013 |