Infinite families of infinite families of congruences for k-regular partitions |
| |
Authors: | Rowland Carlson John J Webb |
| |
Institution: | 1. Department of Mathematics, Wake Forest University, Winston-Salem, NC, 27109, USA
|
| |
Abstract: | Let k∈{10,15,20}, and let b k (n) denote the number k-regular partitions of n. We prove for half of all primes p and any t≥1 that there exist p?1 arithmetic progressions modulo p 2t such that b k (n) is a multiple of 5 for each n in one of these progressions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|