Partitions with Distinct Evens
نویسندگان
چکیده
Partitions with no repeated even parts (DE-partitions) are considered. A DE-rank for DE-partitions is defined to be the integer part of half the largest part minus the number of even parts. ∆(n) denotes the excess of the number of DE-partitions with even DE-rank over those with odd DE-rank. Surprisingly ∆(n) is (1) always non-negative, (2) almost always zero, and (3) assumes every positive integer value infinitely often. The main results follow from the work of Corson, Favero, Liesinger and Zubairy. Companion theorems for DE-partitions counted by exceptional parts conclude the paper.
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