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Legendre theorems for certain overpartitions and overpartition pairs
George E. Andrews, Mohamed El Bachraoui
Motivated by two Legendre-type formulas for overpartitions, we derive a variety of their companions as Legendre theorems for overpartition pairs. This leads to equalities of subcla…
math.NT2024★ 1 cited
Congruences for two-color partitions with odd smallest part
George E. Andrews, Mohamed El Bachraoui
For a fixed positive integer , let denote the number of two-color partitions of with odd smallest part and restrictions on even parts, and let be its gener…