eta-quotients swMATH ID: 38678 Software Authors: Ryan, Nathan C.; Scherr, Zachary; Sirolli, Nicolás; Treneer, Stephanie Description: Congruences satisfied by eta-quotients. The values of the partition function, and more generally the Fourier coefficients of many modular forms, are known to satisfy certain congruences. Results given by Ahlgren and Ono for the partition function and by Treneer for more general Fourier coefficients state the existence of infinitely many families of congruences. In this article we give an algorithm for computing explicit instances of such congruences for eta-quotients. We illustrate our method with a few examples. Homepage: https://arxiv.org/abs/1911.05799 Source Code: https://github.com/nsirolli/eta-quotients Dependencies: Python Related Software: SageMath; GitHub; FLINT Cited in: 3 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Congruences satisfied by eta-quotients. Zbl 1469.11093Ryan, Nathan C.; Scherr, Zachary; Sirolli, Nicolás; Treneer, Stephanie 2021 all top 5 Cited by 10 Authors 2 Ryan, Nathan C. 2 Sirolli, Nicolás 1 Barquero-Sanchez, Adrian 1 Collado-Valverde, Gabriel 1 Hanson, Michael 1 Salas-Jimenez, Eduardo 1 Scherr, Zachary 1 Smith, Jeremiah 1 Treneer, Stephanie 1 Villegas-Morales, Jean Carlos Cited in 3 Serials 1 Journal of Mathematical Analysis and Applications 1 Proceedings of the American Mathematical Society 1 Research in Number Theory Cited in 2 Fields 3 Number theory (11-XX) 1 Combinatorics (05-XX) Citations by Year