Bruce C. Berndt, Department of Mathematics, University of Illinois at Urbana-Champaign, U.S.A.
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Flowers Which We Cannot Yet See Growing in Ramanujan's Garden of  Hypergeometric series, Elliptic Functions, and q's

Abstract

We discuss areas or Ramanujan's mathematics where we clearly have not discerned his methods. As a corollary, we don't understand these subjects as well as we should. These topics include transformation formulas for hypergeometric functions, Ramanujan's alternative theories of elliptic functions, continued fractions, modular equations, and class invariants.

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