Congruences modulo $4$ for the number of $3$-regular partitions
The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-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,...
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Main Authors: | Ballantine, Cristina, Merca, Mircea |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2023-11-01
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Series: | Comptes Rendus. Mathématique |
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Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.512/ |
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