Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593351 | Journal of Number Theory | 2016 | 8 Pages |
Abstract
Let pk(n)pk(n) denote the number of 2-color partitions of n where one of the colors appears only in parts that are multiples of k . We will prove a conjecture of Ahmed, Baruah, and Dastidar on congruences modulo 5 for pk(n)pk(n). Moreover, we will present some new congruences modulo 7 for p4(n)p4(n).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shane Chern,