波兰科学研究院数学研究所
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作者:Shane Chern
来源:[J].Acta Arithmetica(IF 0.472), 2019, Vol.189, pp.397-403IMPAS
摘要:We study the asymptotic behavior of the function$$M_k(n):=(-1)^{k-1} \sum_{j=0}^{k-1}\big(p(n-j(3j+1)/2)-p(n-j(3j+5)/2-1)\big),$$which arises from Andrews and Merca’s truncated pentagonal number theorem.
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^{*}(...

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