Congruences modulo prime for fractional colour partition function
Purpose – Let p[1,r;t] be defined by ∑n=0∞p[1,r;t](n)qn=(E1Er)t, where t is a non-zero rational number, r ≥ 1 is an integer and Er=∏n=0∞(1−qr(n+1)) for |q| < 1. The function p[1,r;t](n) is the generalisation of the two-colour partition function p[1,r;−1](n). In this paper, the authors prove some...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Emerald Publishing
2023-07-01
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Series: | Arab Journal of Mathematical Sciences |
Subjects: | |
Online Access: | https://www.emerald.com/insight/content/doi/10.1108/AJMS-09-2021-0235/full/pdf |