Efficient computation of the overpartition function and applications
Autor: | Barquero-Sanchez, Adrian, Collado-Valverde, Gabriel, Ryan, Nathan C., Salas-Jimenez, Eduardo, Sirolli, Nicolás, Villegas-Morales, Jean Carlos |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1016/j.jmaa.2023.127472 |
Popis: | In this paper we develop a method to calculate the overpartition function efficiently using a Hardy-Rademacher-Ramanujan type formula, and we use this method to find many new Ramanujan-style congruences, whose existence is predicted by Treneer and a few of which were first discovered by Ryan, Scherr, Sirolli and Treneer. Comment: Final version, published in Journal of Mathematical Analysis and Applications |
Databáze: | arXiv |
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