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Finite-dimensional period spaces for the spaces of cusp forms - MaRDI portal

Finite-dimensional period spaces for the spaces of cusp forms (Q503249)

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scientific article; zbMATH DE number 6673862
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Finite-dimensional period spaces for the spaces of cusp forms
scientific article; zbMATH DE number 6673862

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    Finite-dimensional period spaces for the spaces of cusp forms (English)
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    11 January 2017
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    The authors study period functions of cusp forms of real weight and for this purpose, they investigate morphisms between Eichler-Shimura cohomology groups induced from multiplication by a modular form. The main result allows to prove the well-known Haberland formula for the case of real weight and to study special type functions -- quantum modular forms.
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    Eichler-Shimura isomorphism
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    Haberland formula
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    cusp forms
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