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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Roderick Gow (1975)
Mathematische Zeitschrift
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J.A. Green (1962)
Mathematische Zeitschrift
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Ibrahim A. I. Suleiman (1995)
Revista Matemática de la Universidad Complutense de Madrid
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In this paper we calculate the 2-modular character table of the twisted Chevalley group 2D4(2) using computer techniques available in an algebra package called Meat-Axe. This package is now available in Mu'tah University as well as other universities such as Birmingham University in the UK and Aachen University in Germany. The determination of this character table will be a contribution to modular calculations of various simple groups.
K.A. Ribet (1990)
Inventiones mathematicae
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Heima Hayashi (2006)
Acta Arithmetica
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Hidegoro Nakano (1968)
Studia Mathematica
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Besser, Amnon (1997)
Documenta Mathematica
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Torleiv Klove (1970)
Mathematica Scandinavica
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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.
Olivier Mathieu (1995)
Recherche Coopérative sur Programme n°25
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I.I. Piatetski-Shapiro, St. Gelbart (1980)
Inventiones mathematicae
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Hideki Sawada (1977)
Mathematische Zeitschrift
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