Regular and biregular overpartition counts modulo 2^k are determined by ordinary partitions with fewer than k distinct part sizes, reproducing known modulo-4 results and giving explicit modulo-8 expressions.
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Some Comments on Regular Overpartitions modulo $2^k$
Regular and biregular overpartition counts modulo 2^k are determined by ordinary partitions with fewer than k distinct part sizes, reproducing known modulo-4 results and giving explicit modulo-8 expressions.