A generalization of the parametrized modular group
نویسندگان
چکیده
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On Rationally Parametrized Modular Equations
Many rationally parametrized elliptic modular equations are derived. Each comes from a family of elliptic curves attached to a genus-zero congruence subgroup Γ0(N), as an algebraic transformation of elliptic curve periods, parametrized by a Hauptmodul (function field generator). The periods satisfy a Picard–Fuchs equation, of hypergeometric, Heun, or more general type; so the new modular equati...
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2018
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2018.4330