Authors:
Fifth and final volume examining some of Ramanujan's deepest work in the last year of his life
Proves mock theta conjectures first introduced in Ramanujan's famous Last Letter
Features Ramanujan’s Euler products and several continued fractions
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Table of contents (19 chapters)
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Front Matter
About this book
This fifth and final installment of the authors’ examination of Ramanujan’s lost notebook focuses on the mock theta functions first introduced in Ramanujan’s famous Last Letter. This volume proves all of the assertions about mock theta functions in the lost notebook and in the Last Letter, particularly the celebrated mock theta conjectures. Other topics feature Ramanujan’s many elegant Euler products and the remaining entries on continued fractions not discussed in the preceding volumes.
Review from the second volume:
"Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited."
- MathSciNet
Review from the first volume:
"Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete."
- Gazette of the Australian Mathematical Society
Authors and Affiliations
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Department of Mathematics, The Pennsylvania State University, University Park, USA
George E. Andrews
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Department of Mathematics, University of Illinois, Urbana, USA
Bruce C. Berndt
About the authors
Bibliographic Information
Book Title: Ramanujan's Lost Notebook
Book Subtitle: Part V
Authors: George E. Andrews, Bruce C. Berndt
DOI: https://doi.org/10.1007/978-3-319-77834-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-77832-7Published: 18 September 2018
Softcover ISBN: 978-3-030-08550-6Published: 26 December 2018
eBook ISBN: 978-3-319-77834-1Published: 05 September 2018
Edition Number: 1
Number of Pages: XII, 430
Number of Illustrations: 2 b/w illustrations, 1 illustrations in colour
Topics: Special Functions, Functions of a Complex Variable, Number Theory