Quasi-periodic functions and Drinfeld modular forms

Ernst-Ulrich Gekeler

Displaying similar documents to “Quasi-periodic functions and Drinfeld modular forms”

$π$ -adic Eisenstein series for function fields

David Goss (1980)

Compositio Mathematica

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An integrality criterion for elliptic modular forms

Andrea Mori (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let $f$ be an elliptic modular form level of N. We present a criterion for the integrality of $f$ at primes not dividing N. The result is in terms of the values at CM points of the forms obtained applying to $f$ the iterates of the Maaß differential operators.

Classical and overconvergent modular forms

Robert F. Coleman (1995)

Journal de théorie des nombres de Bordeaux

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Operations and cooperations in elliptic cohomology. I: Generalized modular forms and the cooperation algebra.

Baker, Andrew (1994)

The New York Journal of Mathematics [electronic only]

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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.

Arithmetic of the modular function $j_{1, 4}$

Chang Heon Kim, Ja Kyung Koo (1998)

Acta Arithmetica

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We find a generator $j_{1, 4}$ of the function field on the modular curve X₁(4) by means of classical theta functions θ₂ and θ₃, and estimate the normalized generator $N (j_{1, 4})$ which becomes the Thompson series of type 4C. With these modular functions we investigate some number theoretic properties.

Families of modular forms

Kevin Buzzard (2001)

Journal de théorie des nombres de Bordeaux

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We give a down-to-earth introduction to the theory of families of modular forms, and discuss elementary proofs of results suggesting that modular forms come in families.

On the coefficients of Drinfeld modular forms.

Ernst-Ulrich Gekeler (1988)

Inventiones mathematicae

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