q-Series and Theta-Functions

Bruce C. Berndt
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Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter Chapter 16 in Ramanujan’s Notebooks, 1991, pp 11-86 from Springer

Abstract: Abstract In Chapter 16, Ramanujan develops two closely related topics, q-series and theta-functions. The first 17 sections are devoted primarily to q-series, while the latter 22 sections constitute a very thorough development of the theory of theta-functions.

Keywords: Continue Fraction; Product Identity; Transformation Formula; Modular Equation; Basic Hypergeometric Series (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4612-0965-2_2

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