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

By Alexander Berkovich and Aritram Dhar
In 2009, Berkovich and Garvan introduced a new partition statistic called the GBG-rank modulo tt 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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