Calculating \(p(n)\) modulo small primes using quadratic forms (Q1267298)
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scientific article; zbMATH DE number 1207958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Calculating \(p(n)\) modulo small primes using quadratic forms |
scientific article; zbMATH DE number 1207958 |
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Calculating \(p(n)\) modulo small primes using quadratic forms (English)
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6 July 1999
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A partition is called \(l\)-affine if all its parts are powers of \(l\). Following a method suggested by Ono, the author expresses \(p(n)\pmod l\) as a weighted sum taken over \(l\)-affine partitions of \(n\). If \(l\) is one of the first 5 primes, then the weights involve binary quadratic forms.
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weighted sum
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\(l\)-affine partitions
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binary quadratic forms
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0.8343956470489502
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0.7661363482475281
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0.7569581866264343
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