### On values of a modular form on Γ₀(N)

D. Choi (2006)

Acta Arithmetica

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D. Choi (2006)

Acta Arithmetica

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Hidegoro Nakano (1968)

Studia Mathematica

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Besser, Amnon (1997)

Documenta Mathematica

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(2013)

Acta Arithmetica

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The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. 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.

Heima Hayashi (2006)

Acta Arithmetica

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Milan Kolibiar (1994)

Mathematica Slovaca

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Shôzô Koshi, Tetsuya Shimogaki (1961)

Studia Mathematica

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K. Ramanathan (1990)

Acta Arithmetica

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Hans Herda (1968)

Studia Mathematica

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Robert MacPherson, Mark McConnell (1993)

Inventiones mathematicae

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