作者：Heng Huat Chan , Liuquan Wang 来源：[J].Acta Arithmetica(IF 0.472), 2019, Vol.187, pp.59-80IMPAS 摘要：Let $p_{k}(n)$ be the coefficient of $q^n$ in the series expansion of $(q;q)_{\infty}^{k}$.It is known that the partition function $p(n)$, which corresponds to the case when $k=-1$, satisfiescongruences such as $p(5n+4)\equiv 0\pmod{5}$. In this article, we discusscongruences sat...
 作者：Shane Chern , Dazhao Tang , Liuquan Wang 来源：[J].Acta Arithmetica(IF 0.472), 2019, Vol.190, pp.171-191IMPAS 摘要：In order to provide a unified combinatorial interpretation of congruences modulo $5$ for 2-colored partition functions, Garvan introduced a bicrank statistic in terms of weighted vector partitions. In this paper, we obtain some inequalities between the bicrank counts $M^{*}(...  作者：Chao Gu , Liuquan Wang , Ernest X. W. Xia 来源：[J].Acta Arithmetica(IF 0.472), 2016, Vol.175, pp.291-300IMPAS 摘要：In his 1984 AMS Memoir, Andrews introduced the$k$-colored generalized Frobenius partition function. Let$c\phi _k(n)$denote the number of generalized Frobenius partitions of$n$with$k$colors. Recently, congruences modulo 4, 9 and 27 for$c\phi _6(n)\$ were proved by Baruah an...