Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation (Q1260883)
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scientific article; zbMATH DE number 399084
| Language | Label | Description | Also known as |
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| English | Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation |
scientific article; zbMATH DE number 399084 |
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Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation (English)
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5 September 1993
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The authors present identities for twelve products of Dedekind's eta function. The identities are simply deduced from a formula of \textit{S. Ramanujan} [p. 196, entry 17 in the ``Notebooks'', Vol. II (Bombay, 1957; Zbl 0138.242)]. Each of these eta products is an entire modular form, but not a cusp form, of weight 2 on some congruence group of level 24. The identities might be rewritten as Eisenstein series expansion.
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identities
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products of Dedekind's eta function
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entire modular form
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