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Title

Singular values, Ramanujan modular equations, and Landen transformations

Authors 1

Affiliations

  1. Department of Mathematics, University of Helsinki, P.O. Box 4 (Yliopistonk. 5), FIN-00014 Helsinki, Finland

Abstract

A new connection between geometric function theory and number theory is derived from Ramanujan's work on modular equations. This connection involves the function φK(r) recurrent in the theory of plane quasiconformal maps. Ramanujan's modular identities yield numerous new functional identities for φ1p(r) for various primes p.

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Studia Mathematica
1996/121/3
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Pages:
221-230
Main language of publication
English
Received
1995-03-20
Accepted
1996-09-11
Published
1996
Exact and natural sciences