Multiple elliptic Apostol-Dedekind-Zagier sums (Q704253)
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scientific article; zbMATH DE number 2127135
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple elliptic Apostol-Dedekind-Zagier sums |
scientific article; zbMATH DE number 2127135 |
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Multiple elliptic Apostol-Dedekind-Zagier sums (English)
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13 January 2005
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This paper uses Jacobi modular forms of two variables to introduce elliptic analogs of Apostol's generalized Dedekind sums and of Dedekind-Zagier multiple sums. Each elliptic analog satisfies a reciprocity law that leads to new relations between certain Jacobi modular forms of two variables.
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Jacobi modular forms
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generalized Dedekind sums
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Dedekind-Zagier multiple sums
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reciprocity
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