The lowest term of the Schottky modular form.
L. Gerritzen, B. Brinkmann (1992)
Mathematische Annalen
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L. Gerritzen, B. Brinkmann (1992)
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A.J. Scholl (1989)
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Serge Lang, Daniel S. Kubert (1978)
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F. Hirzebruch, W.F. Hammond (1973)
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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.
Jun-Ichi Igusa (1967)
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Takashi Ichikawa (1994)
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D. Choi (2006)
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G. van der Geer (1982)
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Hidegoro Nakano (1968)
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Dan Kubert, Serge Lang (1975)
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Serge Lang, Daniel S. Kubert (1977)
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