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- W1488291224 abstract "For a given prime $p$, we study the properties of the $p$-dissection identities of Ramanujan's theta functions $psi(q)$ and $f(-q)$, respectively. Then as applications, we find many infinite family of congruences modulo 2 for some $ell$-regular partition functions, especially, for $ell=2,4,5,8,13,16$. Moreover, based on the classical congruences for $p(n)$ given by Ramanujan, we obtain many more congruences for some $ell$-regular partition functions." @default.
- W1488291224 created "2016-06-24" @default.
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- W1488291224 date "2013-02-15" @default.
- W1488291224 modified "2023-09-27" @default.
- W1488291224 title "Arithmetic properties of the $ell$-regular partitions" @default.
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