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A bijection for partitions simultaneously -regular and -distinct
William J. Keith
In this note a bijection is constructed between the set of partitions of n simultaneously s-regular and t-distinct, and those simultaneously t-regular and s-distinct. Some implicat…
math.CO2022
Schmidt-type theorems for partitions with uncounted parts
George E. Andrews, William J. Keith
Schmidt's theorem is significantly generalized, to partitions in which periodic but otherwise arbitrary subsets of parts are counted or uncounted. The identification of such sets o…