Families of congruences for fractional partition functions modulo powers of primes

被引：0
|
作者：
Baruah, Nayandeep Deka [1 ]
Das, Hirakjyoti [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India
来源：
RESEARCH IN NUMBER THEORY | 2021年 / 7卷 / 04期
关键词：
Partition; n-color partition; n-colored partition; Fractional partition function; Congruence; Rogers-Ramanujan continued fraction; CUBIC CONTINUED-FRACTION; RAMANUJAN;
D O I：
10.1007/s40993-021-00287-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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页数：21
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