Families of congruences for fractional partition functions modulo powers of primes

被引：0
|
作者：
Nayandeep Deka Baruah
Hirakjyoti Das
机构：
[1] Tezpur University,Department of Mathematical Sciences
来源：
Research in Number Theory | 2021年 / 7卷
关键词：
Partition; -color partition; -colored partition; Fractional partition function; Congruence; Rogers-Ramanujan continued fraction; 11P83; 05A15; 05A17;
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暂无
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学科分类号：
摘要：
Recently, Chan and Wang studied the fractional partition function and found several infinite classes of congruences satisfied by the corresponding coefficients. In this paper, we find new families of congruences modulo powers of primes using the Rogers-Ramanujan continued fraction and some dissection formulae of certain q-products. We also find analogous congruences in the coefficients of the fractional powers of the generating function for the 2-color partition function.
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