Components of Hecke theta series (Q1288157)
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scientific article; zbMATH DE number 1286151
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Components of Hecke theta series |
scientific article; zbMATH DE number 1286151 |
Statements
Components of Hecke theta series (English)
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10 August 1999
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Für eine Heckesche Theta-Reihe \(\sum_{n=1}^\infty a_n n^{-s}\) nennt man die Kongruenzreihe \[ \sum_{\substack{ n=1\\ n\equiv j\pmod t}}^\infty a_n n^{-s}, \quad j\in \mathbb{Z}, \] ihre Komponente modulo \(Z\). Eine Untersuchung dieser Komponenten für Heckesche Theta-Reihen liefert einige interessante Identitäten für Dedekindsche \(\eta\)-Produkte. Bemerkenswert sind die numerischen Tabellen am Ende der Arbeit.
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components
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Hecke theta series
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tables
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identities for Dedekind eta-products
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\(L\)-series
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