Linear relations and congruences for the coefficients of Drinfeld modular forms (Q940762)

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scientific article; zbMATH DE number 5320454
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Linear relations and congruences for the coefficients of Drinfeld modular forms
scientific article; zbMATH DE number 5320454

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    Linear relations and congruences for the coefficients of Drinfeld modular forms (English)
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    3 September 2008
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    In analogy with a recent result on modular forms for \(\text{SL}_2({\mathbb Z})\) by \textit{Y. Choie, W. Kohnen} and \textit{K. Ono} [Bull. Lond. Math. Soc. 37, 335--341 (2005; Zbl 1155.11325)], the author derives congruences for the \(t\)-expansion coefficients of Drinfeld modular forms for \(\text{GL}_2({\mathbb F}_q[T])\) and all linear relations among the initial coefficients. The precise statements are slightly too technical to be reproduced here.
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    Drinfeld modular form
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    \(t\)-expansion
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    coefficient
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    congruence
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    divisibility
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    linear relations
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