Advertisement

Ramanujan’s Notebooks

Part III

  • Bruce C. Berndt

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Bruce C. Berndt
    Pages 1-10
  3. Bruce C. Berndt
    Pages 11-86
  4. Bruce C. Berndt
    Pages 87-142
  5. Bruce C. Berndt
    Pages 143-219
  6. Bruce C. Berndt
    Pages 454-488
  7. Back Matter
    Pages 489-510

About this book

Introduction

During the time period between 1903 and 1914, Ramanujan worked in almost complete isolation in India. Throughout these years, he recorded his mathematical results without proofs in notebooks. Upon Ramanujan's death in 1920, G.H. Hardy strongly urged that Ramanujan's notebooks be published and edited. The English mathematicians G.N. Watson and B.M. Wilson began this task in 1929, but although they devoted nearly ten years to the project, the work was never completed. In 1957, the Tata Institute of Fundamental Research in Bombay published a photostat edition of the notebooks, but no editing was undertaken. In 1977, Berndt began the tasks of editing Ramanujan's notebooks. Proofs are provided to theorems not yet proven in previous literature, and many results are so startling and different that there are no results akin to them in the literature.

Keywords

Identity equation function proof theorem

Authors and affiliations

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

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0965-2
  • Copyright Information Springer-Verlag New York Inc. 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6963-2
  • Online ISBN 978-1-4612-0965-2
  • Buy this book on publisher's site