June 2022 Congruences for generalized Frobenius partitions with 6 colors
Su-Ping Cui, Nancy S. S. Gu
Rocky Mountain J. Math. 52(3): 877-885 (June 2022). DOI: 10.1216/rmj.2022.52.877

Abstract

We establish the generating function for cϕ6¯(n), the number of generalized Frobenius partitions of n with 6 colors whose order is 6 under cyclic permutation of the 6 colors. Furthermore, we find some congruences for cϕ6¯(n) modulo 24.

Citation

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Su-Ping Cui. Nancy S. S. Gu. "Congruences for generalized Frobenius partitions with 6 colors." Rocky Mountain J. Math. 52 (3) 877 - 885, June 2022. https://doi.org/10.1216/rmj.2022.52.877

Information

Received: 10 May 2021; Revised: 27 September 2021; Accepted: 10 October 2021; Published: June 2022
First available in Project Euclid: 16 June 2022

MathSciNet: MR4441102
zbMATH: 07556044
Digital Object Identifier: 10.1216/rmj.2022.52.877

Subjects:
Primary: 11P83
Secondary: 05A17

Keywords: congruences , generalized Frobenius partitions , integer matrix exact covering system , Ramanujan’s theta functions

Rights: Copyright © 2022 Rocky Mountain Mathematics Consortium

Vol.52 • No. 3 • June 2022
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