论文标题
一致的家族分数分区功能模型的素数功能
Families of Congruences for Fractional Partition Functions Modulo Powers of Primes
论文作者
论文摘要
最近，Chan和Wang（分区函数的生成函数的分数幂。ActaArith。187（1），59--80（2019）研究了分区函数的生成函数的分数幂，并找到了相应系数满足的几个一致性。在本文中，我们发现了一些新的一致的典范统一的家族。我们还发现了2色分区函数生成函数的分数功能系数的类似结果。
Recently, Chan and Wang (Fractional powers of the generating function for the partition function. Acta Arith. 187(1), 59--80 (2019)) studied the fractional powers of the generating function for the partition function and found several congruences satisfied by the corresponding coefficients. In this paper, we find some new families of congruences modulo powers of primes. We also find analogous results for the coefficients of the fractional powers of the generating function for the 2-color partition function.
