### On non-symmetric modular spaces

H. H. Herda (1967)

Colloquium Mathematicae

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H. H. Herda (1967)

Colloquium Mathematicae

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D. Choi (2006)

Acta Arithmetica

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Hidegoro Nakano (1968)

Studia Mathematica

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J. Musielak, W. Orlicz (1962)

Studia Mathematica

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Besser, Amnon (1997)

Documenta Mathematica

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Heima Hayashi (2006)

Acta Arithmetica

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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.

Hans Herda (1968)

Studia Mathematica

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Shôzô Koshi, Tetsuya Shimogaki (1961)

Studia Mathematica

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Carlo Bardaro, Ilaria Mantellini (2006)

Mathematica Slovaca

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Ryszard Urbański (1983)

Studia Mathematica

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