Classical automorphic forms and hypergeometric functions (Q1102317)
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scientific article; zbMATH DE number 4049718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classical automorphic forms and hypergeometric functions |
scientific article; zbMATH DE number 4049718 |
Statements
Classical automorphic forms and hypergeometric functions (English)
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1988
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The author exhibits a graded algebra of hypergeometric functions and shows how to canonically identify it with the graded algebra of modular forms for the full modular group SL(2,\({\mathbb{Z}})\). He also shows how Dedekind's eta-function is related to the square root of a hypergeometric function and gives yet another simple proof of its functional equation.
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Mellin transforms
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special values of Dirichlet series
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integrals of hypergeometric functions
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graded algebra of hypergeometric functions
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graded algebra of modular forms
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Dedekind's eta-function
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functional equation
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