J-majorizing and modular operators in J-spaces
Ю.Л. Шмульян (1968)
Matematiceskie issledovanija
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Ю.Л. Шмульян (1968)
Matematiceskie issledovanija
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Chen, Min (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Wolf Barth, Klaus Hulek (1985)
Manuscripta mathematica
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F. Hirzebruch, A. de Van de Ven (1974)
Inventiones mathematicae
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F. Hirzebruch, D. Zagier (1976)
Inventiones mathematicae
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V.K. Murty, D. Ramakrishnan (1987)
Inventiones mathematicae
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J.W. Cogdell (1985)
Journal für die reine und angewandte Mathematik
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Carlo Bardaro, Ilaria Mantellini (2006)
Mathematica Slovaca
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D. Choi (2006)
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.
Hidegoro Nakano (1968)
Studia Mathematica
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