Volume 43_1_(2022)_23-35

Arithmetic Properties For (r,s)-Regular Partition Functions With Distinct Parts
Rinchin Drema, Nipen Saikia

Abstract. For any relatively prime integers r and s, let ar,s(n) denote the number of (r,s)-regular partitions of a positive integer of n into distinct parts. Prasad and Prasad (2018) proved many infinite families of congruences modulo 2 for a2,3(n). In this paper, we establish families of congruences modulo 2 and 4 for ar,s(n) with (r, s) ∈ {(2, 5), (2, 7), (4, 5), (4, 9)}

Rend. Mat. Appl. (7) 43 (2022) 23-35;  pdf