A Proof of Merca's Conjectures on Sums of Odd Divisor Functions
| Autor: | Lakein, Kaya, Larsen, Anne |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | In a recent paper, Merca posed three conjectures on congruences for specific convolutions of a sum of odd divisor functions with a generating function for generalized $m$-gonal numbers. Extending Merca's work, we complete the proof of these conjectures. Comment: This revision includes further commentary about Merca's conjectures. This paper will appear in the Bulletin of the Australian Mathematical Society |
| Databáze: | arXiv |
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