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A+ CATEGORY SCIENTIFIC UNIT

Singular values, Ramanujan modular equations, and Landen transformations

Volume 121 / 1996

M. Vuorinen Studia Mathematica 121 (1996), 221-230 DOI: 10.4064/sm-121-3-221-230

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 recurrent in the theory of plane quasiconformal maps. Ramanujan's modular identities yield numerous new functional identities for φ_{1/p}(r) for various primes p.

Authors

  • M. Vuorinen

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