By Alexander Berkovich and Aritram Dhar

In 2009, Berkovich and Garvan introduced a new partition statistic called the GBG-rank modulo $t$ which is a generalization of the well-known BG-rank. In this paper, we use the Littlewood decomposition of partitions to study partitions with bounded largest part and fixed integral value of GBG-rank modulo primes. As a... Show more

February 15, 2024

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

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