Ramanujan type congruences for a partition function (Q540040)
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scientific article; zbMATH DE number 5902988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ramanujan type congruences for a partition function |
scientific article; zbMATH DE number 5902988 |
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Ramanujan type congruences for a partition function (English)
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1 June 2011
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Summary: We investigate the arithmetic properties of a certain function \(b(n)\) given by \[ \sum^\infty_{n=0} b(n)q^n= (q; q)^{-2}_\infty (q^2; q^2)^{-2}_\infty. \] One of our main results is \(b(9n+ 7) \equiv 0 \pmod 9\).
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Ramanujan's cubic continued fraction
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congruences
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partition function
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