The Eisenstein family for the modular group along closed geodescis.
Roland Matthes (1996)
Mathematische Zeitschrift
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Roland Matthes (1996)
Mathematische Zeitschrift
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D. Choi (2006)
Acta Arithmetica
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Besser, Amnon (1997)
Documenta Mathematica
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Hidegoro Nakano (1968)
Studia Mathematica
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Serge Lang, Daniel S. Kubert (1978)
Mathematische Annalen
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Heima Hayashi (2006)
Acta Arithmetica
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Inder Bir S. Passi, Sudarshan Sehgal (1972)
Mathematische Zeitschrift
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Shoetsu Ogata (1993)
Mathematische Zeitschrift
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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.
L. Gerritzen, B. Brinkmann (1992)
Mathematische Annalen
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Ryszard Urbanski (1986)
Mathematische Zeitschrift
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Stephen A. Mitchell (1985)
Mathematische Zeitschrift
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John Roderick Smart (1966)
Mathematische Zeitschrift
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