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Ramanujan’s Notebooks

Part V

  • Bruce C. Berndt

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Bruce C. Berndt
    Pages 1-7
  3. Bruce C. Berndt
    Pages 9-88
  4. Bruce C. Berndt
    Pages 183-322
  5. Bruce C. Berndt
    Pages 323-351
  6. Bruce C. Berndt
    Pages 409-502
  7. Bruce C. Berndt
    Pages 503-564
  8. Bruce C. Berndt
    Pages 565-578
  9. Back Matter
    Pages 579-624

About this book

Introduction

During the years 1903-1914, Ramanujan recorded most of his mathematical dis­ coveries without proofs in notebooks. Although many of his results had already been published by others, most had not. Almost a decade after Ramanujan's death in 1920, G. N. Watson and B. M. Wilson began to edit Ramanujan's notebooks, but, despite devoting over ten years to this project, they never completed their task. An unedited photostat edition of the notebooks was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fifth and final volume devoted to the editing of Ramanujan's notebooks. Parts I-III, published, respectively, in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in the second notebook, a revised enlarged edition of the first. Part IV, published in 1994, contains results from the 100 unorganized pages in the second notebook and the 33 unorganized pages comprising the third notebook. Also examined in Part IV are the 16 organized chapters in the first notebook, which contain very little that is not found in the second notebook. In this fifth volume, we examine the remaining contents from the 133 unorganized pages in the second and third notebooks, and the claims in the 198 unorganized pages of the first notebook that cannot be found in the succeeding notebooks.

Keywords

Finite Identity Invariant Ramanujan average continued fraction equation function theorem

Authors and affiliations

  • Bruce C. Berndt
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1624-7
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7221-2
  • Online ISBN 978-1-4612-1624-7
  • Buy this book on publisher's site