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...

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Bibliographic Details
Main Authors: Riyajur Rahman, Nipen Saikia
Format: Article
Language:English
Published: Emerald Publishing 2023-07-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1108/AJMS-09-2021-0235/full/pdf