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- W2134366923 abstract "Let $mathrm{pod}_{-4}(n)$ denote the number of partition quadruples of $n$ where the odd parts in each partition are distinct. We find many arithmetic properties of $mathrm{pod}_{-4}(n)$ involving the following infinite family of congruences: for any integers $alpha ge 1$ and $n ge 0$, [mathrm{pod}_{-4}Big({{3}^{alpha +1}}n+frac{5cdot {{3}^{alpha }}+1}{2}Big)equiv 0 pmod{9}.] We also establish some internal congruences and some congruences modulo 2, 5 and 8 satisfied by $mathrm{pod}_{-4}(n)$." @default.
- W2134366923 created "2016-06-24" @default.
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- W2134366923 date "2015-07-08" @default.
- W2134366923 modified "2023-10-16" @default.
- W2134366923 title "ARITHMETIC PROPERTIES OF PARTITION QUADRUPLES WITH ODD PARTS DISTINCT" @default.
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- W2134366923 doi "https://doi.org/10.1017/s0004972715000647" @default.
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