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| Genre/Form: | Electronic books Biography |
|---|---|
| Additional Physical Format: | Print version: Andrews, George E., 1938- Ramanujan's lost notebook. New York : Springer, c2005- (DLC) 2005923547 |
| Named Person: | Srinivasa Ramanujan Aiyangar |
| Material Type: | Document, Internet resource |
| Document Type: | Internet Resource, Computer File |
| All Authors / Contributors: |
George E Andrews; Bruce C Berndt |
| ISBN: | 038725529X 9780387255293 038728124X 9780387281247 9780387777658 0387777652 9780387777665 0387777660 |
| OCLC Number: | 228396300 |
| Description: | 1 online resource : ports. |
| Contents: | Preface.- Introduction.- 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 Class Invariant.- Miscellaneous Results on Elliptic Functions and Theta Functions.- Formulas for the Power Series Cofficients of Certain Quotients of Eisenstein Series.- Letters From Matlock House.- Eisenstein Series and Modular Equations.- Series Representable in Terms of Eisenstein Series.- Eisenstein Series and Approximations to p.- Miscellaneous Results on Eisenstein Series.- Location Guide.- Provenance.- References.- |
| Responsibility: | George E. Andrews, Bruce C. Berndt. |
Reviews
Publisher Synopsis
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 ... . the authors treatment is extremely thorough. Each chapter contains an introduction with appropriate background. References to all other known proofs of the entries are provided. ... Fans of Ramanujan's mathematics are sure to be delighted by this book. ... Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come." (Jeremy Lovejoy, Mathematical Reviews, Issue 2010 f) Read more...


