Generalized Eisenstein series and modified Dedekind sums.
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Generalized Eta-Functions and Certain Ray Class Invariants of Real Quadratic Fields.
Tsuneo Arakawa (1982)
Mathematische Annalen
Generation of Hauptmoduln of Γ1(N) by Weierstrass units and application to class fields
Chang Kim, Ja Koo (2011)
Open Mathematics
We show that the modular functions j 1,N generate function fields of the modular curve X 1(N), N ∈ {7; 8; 9; 10; 12}, and apply them to construct ray class fields over imaginary quadratic fields.
Generators and defining equation of the modular function field of the group Γ₁(N)
Nobuhiko Ishida, Noburo Ishii (2002)
Acta Arithmetica
Generators and equations for modular function fields of principal congruence subgroups
Nobuhiko Ishida (1998)
Acta Arithmetica
Gravity, strings, modular and quasimodular forms
P. Marios Petropoulos, Pierre Vanhove (2012)
Annales mathématiques Blaise Pascal
Modular and quasimodular forms have played an important role in gravity and string theory. Eisenstein series have appeared systematically in the determination of spectrums and partition functions, in the description of non-perturbative effects, in higher-order corrections of scalar-field spaces, ...The latter often appear as gravitational instantons i.e. as special solutions of Einstein’s equations. In the present lecture notes we present a class of such solutions in four dimensions, obtained by...
Grundlagen einer independenten Theorie der elliptischen Modulfunctionen und Theorie der Multiplicatorgleichungen erster Stufe.
Hurwitz (1881)
Mathematische Annalen
Currently displaying 1 – 7 of 7
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