Proof of some conjectures of Melham using Ramanujan's \(_1 \psi_1\) formula (Q2330254)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of some conjectures of Melham using Ramanujan's \(_1 \psi_1\) formula |
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Proof of some conjectures of Melham using Ramanujan's \(_1 \psi_1\) formula (English)
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28 October 2019
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Summary: We employ Ramanujan's \(_1 \psi_1\) formula to prove three conjectures of \textit{R. S. Melham} [Integers 10, No. 1, 83--100, A8 (2010; Zbl 1200.11025)] on representation of an integer \(n\) as sums of polygonal numbers.
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Ramanujan's \(_1 \psi_1\) formula
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polygonal numbers
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