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- W2963448191 abstract "Let $$p_{k,3}(n)$$ enumerate the number of 2-color partition triples of n where one of the colors appears only in parts that are multiples of k. In this paper, we prove several infinite families of congruences modulo powers of 3 for $$p_{k,3}(n)$$ with $$k=1, 3$$ , and 9. For example, for all integers $$nge 0$$ and $$alpha ge 1$$ , we prove that $$begin{aligned} p_{3,3}left( 3^{alpha }n+dfrac{3^{alpha }+1}{2}right)&equiv 0pmod {3^{alpha +1}} end{aligned}$$ and $$begin{aligned} p_{3,3}left( 3^{alpha +1}n+dfrac{5times 3^{alpha }+1}{2}right)&equiv 0pmod {3^{alpha +4}}. end{aligned}$$" @default.
- W2963448191 created "2019-07-30" @default.
- W2963448191 creator A5025724291 @default.
- W2963448191 date "2018-10-12" @default.
- W2963448191 modified "2023-09-24" @default.
- W2963448191 title "Congruences modulo powers of 3 for 2-color partition triples" @default.
- W2963448191 cites W2326857853 @default.
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- W2963448191 doi "https://doi.org/10.1007/s10998-018-0258-8" @default.
- W2963448191 hasPublicationYear "2018" @default.
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