ℓ-Divisibility of ℓ-regular partition functions

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Arithmetic properties of partitions with even parts distinct (2010, background): “The reader interested in work involving regular partitions may wish to see Alladi [1], Andrews [2, Theorem 9], [3], Dandurand and Penniston [ 5 ], Granville and Ono [6], Gordon and Ono [7], Patkowski [9], and Penniston [10].”
Arithmetic of the 13-regular partition function modulo 3 (2011, background): “p if p | k − 1. Treener in [14] extends this result to all primes k ≥ 3 not equal to p .I n [8] and [ 6 ], the authors use the theory of complex multiplication to precisely describe those n for which b� (n) ≡ 0 (mod �) when � ∈{ 3, 5, 7, 11}.”