书目名称 | Ramanujan‘s Lost Notebook |
副标题 | Part V |
编辑 | George E. Andrews,Bruce C. Berndt |
视频video | |
概述 | Fifth and final volume examining some of Ramanujan‘s deepest work in the last year of his life.Proves mock theta conjectures first introduced in Ramanujan‘s famous Last Letter.Features Ramanujan’s Eul |
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 fifth and final installment of the authors’ examination of Ramanujan’s lost notebook focuses on the mock theta functions first introduced in Ramanujan’s famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan’s many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes. .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 |
出版日期 | Book 2018 |
关键词 | Appell-Lerch Identities; Euler products; Srinivasa Ramanujan; mock theta conjectures; mock theta functio |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-77834-1 |
isbn_softcover | 978-3-030-08550-6 |
isbn_ebook | 978-3-319-77834-1 |
copyright | Springer International Publishing AG, part of Springer Nature 2018 |