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During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in Ramanujan's second notebook as well as a description of his quarterly reports. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks. For those results that are known, references in the literature are provided. Otherwise, complete proofs are given. Over 1/2 of the results in the notebooks are new. Many of them are so startling and different that there are no results akin to them in the literature.
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
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Bibliographic Information
Book Title: Ramanujan’s Notebooks
Book Subtitle: Part IV
Authors: Bruce C. Berndt
DOI: https://doi.org/10.1007/978-1-4612-0879-2
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 1994
Hardcover ISBN: 978-0-387-94109-7Published: 17 December 1993
Softcover ISBN: 978-1-4612-6932-8Published: 30 September 2012
eBook ISBN: 978-1-4612-0879-2Published: 06 December 2012
Edition Number: 1
Number of Pages: XII, 451
Topics: Mathematics, general