In 2002, Andrews, Lewis and Lovejoy introduced and studied the partition function P D(n), the number of partitions of n with designated summands. Recently, congruences involving the number of l-regular partitions with designated summands, denoted by P Dl(n), have been explored for l = 2 and l = 3. In this paper, we present new arithmetic properties of P D3(n), including a complete characterization of this function modulo 3.
|Original language||English (US)|
|Number of pages||11|
|State||Published - 2020|
Bibliographical noteFunding Information:
1supported by FAPESP (Grant no. 2016/14057-2).