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
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