Modular equations for some η-products
François Morain · Acta Arithmetica · 2013
The classical modular equations involve bivariate polynomials that can be seen to be univariate with coefficients in the modular invariant j.Kiepert found modular equations relating some η-quotients and the Weber functions γ 2 and γ 3 .In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation.We give some properties of these equations, explain how to compute them and give numerical examples.1.