Some congruences for regular partitions with distinct odd parts (Q6546703)
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scientific article; zbMATH DE number 7856121
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some congruences for regular partitions with distinct odd parts |
scientific article; zbMATH DE number 7856121 |
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Some congruences for regular partitions with distinct odd parts (English)
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30 May 2024
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This article provides a study of congruences related to the function \(\text{pod}_\ell(n)\), which represents the number of \(\ell\)-regular partitions of a positive integer \(n\) into distinct odd parts. Specifically, the author focuses on determining congruences for \(\text{pod}_5(n)\), \(\text{pod}_7(n)\), \(\text{pod}_9(n)\), and \(\text{pod}_25(n)\) using some congruence properties of triangular number representations.
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regular partitions
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triangular numbers
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congruences
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