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.
Some congruences for $3$-core cubic bipartitions
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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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Further results on arithmetic properties of biregular overpartitions
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.