Congruences modulo <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>4</mml:mn></mml:math> for the number of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>3</mml:mn></mml:math>-regular partitions

Cristina Ballantine, Mircea Merca

Type: Article

Publication Date: 2023-11-10

Citations: 1

DOI: https://doi.org/10.5802/crmath.512

Abstract

The last decade has seen an abundance of congruences for b ℓ (n), the number of ℓ-regular partitions of n. Notably absent are congruences modulo 4 for b 3 (n). In this paper, we introduce Ramanujan type congruences modulo 4 for b 3 (2n) involving some primes p congruent to 11,13,17,19,23 modulo 24.

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+	Infinite families of infinite families of congruences for k-regular partitions	2013	Rowland Carlson John J. Webb
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+	ℓ-Divisibility of ℓ-regular partition functions	2007	Brian Dandurand David Penniston
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