A1 Refereed original research article in a scientific journal

Singular values, Ramanujan modular equations, and Landen transformations



Authors: Vuorinen M.

Publication year: 1996

Journal:: Studia Mathematica

Journal name in source: Studia Mathematica

Volume: 121

Issue: 3

First page : 221

Last page: 230

Number of pages: 10

ISSN: 0039-3223

Web address : http://api.elsevier.com/content/abstract/scopus_id:0030470638


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



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