Some Explicit Resolutions of Modular Cusp Singularities.
Harvey Cohn (1972)
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Harvey Cohn (1972)
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H.G. Grundmann (1992)
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Hidegoro Nakano (1968)
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D. Choi (2006)
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(2013)
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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.
G. K. Sankaran (1986)
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Besser, Amnon (1997)
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Carlo Bardaro, Ilaria Mantellini (2006)
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Heima Hayashi (2006)
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Shôzô Koshi, Tetsuya Shimogaki (1961)
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