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Some congruences for $3$-core cubic bipartitions

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arxiv 2311.17674 v3 pith:YAREZNCN submitted 2023-11-29 math.NT math.CO

Russelle Guadalupe This is my paper · ORCID
classification math.NTmath.CO
keywords bipartitionscongruencescorecubiccertainderivedissectionelementary
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abstract

In this paper, we derive certain congruences for the number of $3$-core cubic bipartitions using elementary $q$-series manipulations and dissection formulas.

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  1. Further results on arithmetic properties of biregular overpartitions

    math.NT 2025-04 conditional novelty 5.0 of 10

    Elementary dissections reprove and extend biregular overpartition congruences, but the new modulo 8 residue-class method is incomplete because Section 4 skips a cancellation step.

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