Cubic partition pairs weighted by the parity of the crank

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Abstract

We study congruence properties of the number of cubic partition pairs weighted by the parity of the crank. If we define such number to be c(n), then $c(5n+4){\equiv}0$ (mod 5) and $c(7n+2){\equiv}0$ (mod 7), for all nonnegative integers n.
Original languageEnglish
Pages (from-to)637-642
Number of pages6
Journal한국수학논문집
Volume23
Issue number4
DOIs
StatePublished - Dec 2015

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