Hecke operators on Jacobi-like forms (Q2764786)

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scientific article; zbMATH DE number 1690971
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Hecke operators on Jacobi-like forms
scientific article; zbMATH DE number 1690971

    Statements

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    19 May 2003
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    differential operators
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    Jacobi-like forms
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    sequences of modular forms
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    Hecke operators
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    Hecke operators on Jacobi-like forms (English)
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    Jacobi-like forms for a discrete subgroup of SL\(_2(\mathbb{R})\) are formal power series with coefficients in the space of functions on the upper half-plane satisfying a particular (Jacobi form like) functional equation. They correspond to sequences of modular forms. In the paper under review the authors introduce Hecke operators on the space of Jacobi-like forms and compare them with classical Hecke operators.
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