On the infinite product exponents of meromorphic modular forms for certain arithmetic groups

SoYoung Choi; Chang Heon Kim

Displaying similar documents to “On the infinite product exponents of meromorphic modular forms for certain arithmetic groups”

Vector-valued modular forms associated to linear ordinary differential equations

Min Ho Lee (2008)

Commentationes Mathematicae Universitatis Carolinae

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We consider a class of linear ordinary differential equations determined by a modular form of weight one, and construct vector-valued modular forms of weight two by using solutions of such differential equations.

Koecher-Maaß-Series for Modular Forms of Quaternions.

Aloys Krieg (1990)

Manuscripta mathematica

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Arithmetic of certain hypergeometric modular forms

Karl Mahlburg, Ken Ono (2004)

Acta Arithmetica

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Differential overconvergence

Alexandru Buium, Arnab Saha (2011)

Banach Center Publications

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We prove that some of the basic differential functions appearing in the (unramified) theory of arithmetic differential equations, especially some of the basic differential modular forms in that theory, arise from a "ramified situation". This property can be viewed as a special kind of overconvergence property. One can also go in the opposite direction by using differential functions that arise in a ramified situation to construct "new" (unramified) differential functions.