Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences (Q1011625)
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scientific article; zbMATH DE number 5541989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences |
scientific article; zbMATH DE number 5541989 |
Statements
Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences (English)
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8 April 2009
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The author proves some new theta function identities, as well as series expansions for particular powers of Dedekind's eta function. As corollaries, known Ramanujan-type congruences for the partition function are derived.
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elliptic function
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theta function
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Dedekind's eta function
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Ramanujan's congruence
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