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math.NT2026
On the Moments of Least -Gaps of Partitions and a Conjecture of Baruah and Talukdar
Sourav Bhowmick, Nabin Kumar Meher
Andrews and Newman \cite{AN19, AN20} defined the minimal excludant or mex of a partition. The mex of a partition is the smallest positive integer which is absent from the partition…
math.NT2026
Moments of the Crank Statistic for -Core Partitions and Overpartitions
Sourav Bhowmick, Nabin Kumar Meher
Recently, Kang, Kim, and Lee \cite{Kang2026} developed a unified moment-trace framework for symmetric partition statistics using complete Bell polynomials and their inversion formu…