Abstract
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) |
|---|---|
| Article number | A6 |
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | Integers |
| Volume | 20A |
| State | Published - 2020 |
Bibliographical note
Funding Information:1supported by FAPESP (Grant no. 2016/14057-2).
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