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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Karen Taylor (2012)
Acta Arithmetica
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Besser, Amnon (1997)
Documenta Mathematica
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Shinji Fukuhara (2012)
Acta Arithmetica
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G. Chinta, N. Diamantis (2002)
Acta Arithmetica
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Karl Mahlburg, Ken Ono (2004)
Acta Arithmetica
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Vincent Bosser (2008)
Acta Arithmetica
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Özlem Imamoglu, Yves Martin (2006)
Acta Arithmetica
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Hiraoka, Yoshio (2000)
Experimental Mathematics
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Yichao Zhang (2011)
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.
Roland Matthes (1996)
Mathematische Zeitschrift
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Sung-Geun Lim (2010)
Acta Arithmetica
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Hidegoro Nakano (1968)
Studia Mathematica
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Masataka Chida (2005)
Acta Arithmetica
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