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Ramanujan's Lost Notebook, 1st Edition

Ramanujan's Lost Notebook, 1st Edition
Author
Andrews, George E./ Berndt, Bruce C. 
Publisher
Springer-Verlag 
Publication Date
Dec, 2008 
ISBN
0387777652 or 9780387777658
HARDCOVER 
418 Pages
出版済み 3-5週間でお届けいたします。
The delivery time takes 3 to 5 weeks

¥ 15,358 (tax included)

Description

This volume is the second of approximately four volumes that the authors plan to write on Ramanujan's lost notebook, which is broadly interpreted to include all material published in The Lost Notebook and Other Unpublished Papers in 1988. The primary topics addressed in the authors' second volume on the lost notebook are q-series, Eisenstein series, and theta functions. Most of the entries on q-series are located in the heart of the original lost notebook, while the entries on Eisenstein series are either scattered in the lost notebook or are found in letters that Ramanujan wrote to G.H. Hardy from nursing homes.

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 analogue of the classical ramanujan-weber class invariants.
Miscellaneous results on elliptic functions and theta functions.
Formulas for the power series cofficients 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 p.
Miscellaneous results on eisenstein series.
Location guide.
Provenance.
References.
Index

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