Modular properties of theta-functions and representation of numbers by positive quadratic forms.
Vepkhvadze, T. (1997)
Georgian Mathematical Journal
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Displaying similar documents to “Gravity, strings, modular and quasimodular forms”
Modular properties of theta-functions and representation of numbers by positive quadratic forms.
Casimir operators on pseudodifferential operators of several variables.
Lee, Min Ho (2002)
Journal of Lie Theory
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Quasimodular forms and quasimodular polynomials
Min Ho Lee (2012)
Annales mathématiques Blaise Pascal
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This paper is based on lectures delivered at the Workshop on quasimodular forms held in June, 2010 in Besse, France, and it provides a survey of some recent work on quasimodular forms.
Class invariants and cyclotomic unit groups from special values of modular units
Amanda Folsom (2008)
Journal de Théorie des Nombres de Bordeaux
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In this article we obtain class invariants and cyclotomic unit groups by considering specializations of modular units. We construct these modular units from functional solutions to higher order -recurrence equations given by Selberg in his work generalizing the Rogers-Ramanujan identities. As a corollary, we provide a new proof of a result of Zagier and Gupta, originally considered by Gauss, regarding the Gauss periods. These results comprise part of the author’s 2006 Ph.D. thesis []...
On entire modular forms of half-integral weight on the congruence subgroup .
Lomadze, G. (2004)
Georgian Mathematical Journal
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Quantum symmetries for exceptional modular invariants associated with conformal embeddings.
Coquereaux, Robert, Schieber, Gil (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Optimal inequalities for embedded space-times
Stefan Haesen (2005)
Kragujevac Journal of Mathematics
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Self-consistent-field method and -functional method on group manifold in soliton theory: a review and new results.
Nishiyama, Seiya, Da Providência, João, Providência, Constança, Cordeiro, Flávio, Komatsu, Takao (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Differential calculus on 'non-standard' (h-deformed) Minkowski spaces
José de Azcárraga, Francisco Rodenas (1997)
Banach Center Publications
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The differential calculus on 'non-standard' h-Minkowski spaces is given. In particular it is shown that, for them, it is possible to introduce coordinates and derivatives which are simultaneously hermitian.