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In this note a bijection is constructed between the set of partitions of nsimultaneously s-regular and t-distinct, and those simultaneously t-regular ands-distinct. Some implications of the map are discussed. As a generalizedversion of Glaisher's bijection, the map may be widely useful in otherpartition combinatorics. A previous conjecture concerning iterations ofGlaisher's bijection is given a counterexample.

A bijection for partitions simultaneously $s$-regular and $t$-distinct