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math.NT2026
Untrodden pathways in the study of partitions with parts separated by parity
Nargish Punia, Rahul Kumar
In this paper, we study a partition function with parts separated by parity from a family of partition functions introduced by Andrews in 2019. We first show that its generating fu…
math.NT2024
A family of integrals related to values of the Riemann zeta function
Rahul Kumar, Paul Levrie, Jean-Christophe Pain +1
We propose a relation between values of the Riemann zeta function and a family of integrals. This results in an integral representation for , where is a positive int…