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- W3010806769 abstract "For positive integers $n$ and $k$ , let $r_{k}(n)$ denote the number of representations of $n$ as a sum of $k$ squares, where representations with different orders and different signs are counted as distinct. For a given positive integer $m$ , by means of some properties of binomial coefficients, we derive some infinite families of congruences for $r_{k}(n)$ modulo $2^{m}$ . Furthermore, in view of these arithmetic properties of $r_{k}(n)$ , we establish many infinite families of congruences for the overpartition function and the overpartition pair function." @default.
- W3010806769 created "2020-03-23" @default.
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- W3010806769 date "2020-03-18" @default.
- W3010806769 modified "2023-10-18" @default.
- W3010806769 title "SUMS OF SQUARES AND PARTITION CONGRUENCES" @default.
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- W3010806769 doi "https://doi.org/10.1017/s1446788720000117" @default.
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