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Ramanujan's lost notebook

著者: Srinivasa Ramanujan Aiyangar; George E Andrews; Bruce C Berndt
出版商: New York ; London : Springer, 2008.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
This is the second volume devoted to providing statements, proofs, and discussions of all the claims made by Srinivasa Ramanujan in his lost notebook and all his other manuscripts and letters published with the lost notebook.
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类型/形式: Electronic books
附加的形体格式: Print version:
Ramanujan Aiyangar, Srinivasa, 1887-1920.
Ramanujan's lost notebook.
New York ; London : Springer, 2008
(OCoLC)213479398
提及的人: Srinivasa Ramanujan Aiyangar
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Srinivasa Ramanujan Aiyangar; George E Andrews; Bruce C Berndt
ISBN: 9780387777665 0387777660 9780387777658 0387777652
OCLC号码: 405547111
描述: 1 online resource.
内容: The Heine Transformation.- The Sears- Thomae Transformation.- Bilateral Series.- Well-Poised Series.- Bailey's Lemma and Theta Expansions.- Partial Theta Functions.- Special Identities.- Theta Function Identities.- Ramanujan's Cubic Analogue of the Classical Ramanujan-Weber Class Invariants.- Miscellaneous Results on Elliptic Functions and Theta Functions.- Formulas for the Power Series Coefficients of Certain Quotients of Eisenstein Series.- Two Letters on Eisenstein Series Written from Matlock House.- Eisenstein Series and Modular Equations.- Series Representable in Terms of Eisenstein Series.- Eisenstein Series and Approximations to pi.- Miscellaneous Results on Eisenstein Series.
责任: Srinivasa Ramanujan ; edited by George E. Andrews, Bruce Berndt. Part 2.

摘要:

"Ramanujan's 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  再读一些...

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From the reviews: "This volume contains 16 chapters comprising 314 entries. The material is arranged thematically with the main topics being some of Ramanujan's favorites q series theta functions ... 再读一些...

 
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