q-Series and Theta-Functions

  • Bruce C. Berndt


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.


Continue Fraction Product Identity Transformation Formula Modular Equation Basic Hypergeometric Series 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

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

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