Ramanujan's Lost Notebook: Part II / Edition 1

Ramanujan's Lost Notebook: Part II / Edition 1

by George E Andrews, Bruce C. Berndt
     
 

ISBN-10: 0387777652

ISBN-13: 9780387777658

Pub. Date: 12/23/2008

Publisher: Springer New York

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." The "lost notebook" contains

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Overview

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." The "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 mock theta functions is perhaps Ramanujan's deepest work.

Product Details

ISBN-13:
9780387777658
Publisher:
Springer New York
Publication date:
12/23/2008
Edition description:
2009
Pages:
420
Product dimensions:
6.10(w) x 9.30(h) x 1.00(d)

Table of Contents

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 π.- Miscellaneous Results on Eisenstein Series.

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