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20232026
most citedOn partitions with bounded largest part and fixed integral GBG-rank modulo primes

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math.NT2023★ 2 cited

On partitions with bounded largest part and fixed integral GBG-rank modulo primes

Alexander Berkovich, Aritram Dhar

In 2009, Berkovich and Garvan introduced a new partition statistic called the GBG-rank modulo which is a generalization of the well-known BG-rank. In this paper, we use the Lit…

math.CO2023

A bijective proof of an identity of Berkovich and Uncu

Aritram Dhar, Avi Mukhopadhyay

The BG-rank BG() of an integer partition is defined as where is the number of odd-indexed odd parts and is the number of even-indexed odd par…

math.NT2023

On identities of Bailey

Aritram Dhar

In this paper, we provide proofs of two summation formulas of Bailey using a identity of Carlitz. We show that in the limiting case, the two identitie…