Ramanujan's lost notebook

Ramanujan's lost notebook
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DOI:
10.1007/b13290
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发表时间:
1987-12
期刊:
影响因子:
2.7
通讯作者:
S. Ramanujan
S. Ramanujan
中科院分区:
环境科学与生态学2区
文献类型:
--
作者:
S. Ramanujan

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This is the fifth and final volume that the authors have written in their examination of all the claims made by S. Ramanujan in The Lost Notebook and Other Unpublished Papers. Published by Narosa in 1988, the treatise contains the “Lost Notebook,” which was discovered by the first author in the spring of 1976 at the library of Trinity College, Cambridge. Also included in this publication are partial manuscripts, fragments, and letters from Ramanujan to GH Hardy. In his last letter, Ramanujan introduced mock theta functions to the mathematical world for the first time. Most of this volume is devoted to Ramanujan’s beautiful identities involving mock theta functions, which populate his “Lost Notebook.” Also featured are Ramanujan’s many elegant Euler products, found in scattered entries and in a manuscript published with the “Lost Notebook.” A few continued fractions are also examined.