Skip to main content
SpringerLink
Log in
Book cover

Ramanujan’s Notebooks

Part II

  • Book
  • © 1989

Overview

Authors:
  1. Bruce C. Berndt

    1. Department of Mathematics, University of Illinois, Urbana, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Introduction

    • Bruce C. Berndt
    Pages 1-6

  3. Hypergeometric Series, I

    • Bruce C. Berndt
    Pages 7-47

  4. Hypergeometric Series, II

    • Bruce C. Berndt
    Pages 48-102

  5. Continued Fractions

    • Bruce C. Berndt
    Pages 103-184

  6. Integrals and Asymptotic Expansions

    • Bruce C. Berndt
    Pages 185-239

  7. Infinite Series

    • Bruce C. Berndt
    Pages 240-299

  8. Asymptotic Expansions and Modular Forms

    • Bruce C. Berndt
    Pages 300-338

  9. Back Matter

    Pages 339-359
    Download chapter PDF
Back to top

Keywords

About this book

During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit his notebooks but 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 second of four volumes devoted to the editing of Ramanujan's Notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Not only are the results fascinating, but, for the most part, Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas.

Authors and Affiliations

  • Department of Mathematics, University of Illinois, Urbana, USA

    Bruce C. Berndt

Bibliographic Information

  • Book Title: Ramanujan’s Notebooks

  • Book Subtitle: Part II

  • Authors: Bruce C. Berndt

  • DOI: https://doi.org/10.1007/978-1-4612-4530-8

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1989

  • Hardcover ISBN: 978-0-387-96794-3Published: 21 November 1988

  • Softcover ISBN: 978-1-4612-8865-7Published: 26 September 2011

  • eBook ISBN: 978-1-4612-4530-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 360

  • Topics: Number Theory

Publish with us

Policies and ethics

Back to top

Search

Navigation