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math.NT2006★ 73 cited
On Rationally Parametrized Modular Equations
Robert S. Maier
Many rationally parametrized elliptic modular equations are derived. Each comes from a family of elliptic curves attached to a genus-zero congruence subgroup , as an algebr…
math.NT2005
Algebraic Hypergeometric Transformations of Modular Origin
Robert S. Maier
It is shown that Ramanujan's cubic transformation of the Gauss hypergeometric function arises from a relation between modular curves, namely the covering of by $…