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Chapter 16 of Ramanujan's second notebook : theta functions and q-series

Author: Srinivasa Ramanujan Aiyangar; C Adiga; Bruce C Berndt; S Bhargava; G N Watson
Publisher: Providence, R.I. : American Mathematical Society, ©1985.
Series: Memoirs of the American Mathematical Society, no. 315.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The first part of Chapter 16 in Ramanujan's second notebook is devoted to q-series. Several of the results obtained by Ramanujan are classical, but many are new. In particular, certain elegant q-continued fraction expansions have not appeared heretofore in print. In the remainder of this chapter, Ramanujan develops the theory of the classical theta-functions in a manner different from his nineteenth century  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Srinivasa Ramanujan Aiyangar; C Adiga; Bruce C Berndt; S Bhargava; G N Watson
ISBN: 0821823167 9780821823163
OCLC Number: 11370946
Notes: "Volume 53, number 315 (second of 5 numbers)."
Description: v, 85 pages ; 26 cm.
Contents: Introduction --
The entries in Chapter 16 of Ramanujan's second notebook.
Series Title: Memoirs of the American Mathematical Society, no. 315.
Other Titles: Chapter sixteen of Ramanujan's second notebook
Theta functions and q-series
Responsibility: C. Adiga, B. C. Berndt, S. Bhargava, and G. N. Watson.

Abstract:

The first part of Chapter 16 in Ramanujan's second notebook is devoted to q-series. Several of the results obtained by Ramanujan are classical, but many are new. In particular, certain elegant q-continued fraction expansions have not appeared heretofore in print. In the remainder of this chapter, Ramanujan develops the theory of the classical theta-functions in a manner different from his nineteenth century predecessors such as Jacobi. Although many of Ramanujan's discoveries about theta-functions are well-known, several new results are also to be found.

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