Geodesic
Some new congruence identities of general partition for $p_r(n)$
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 75-79

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In the present work, we deduce some new congruences modulo 3 and 5 for $p_r(n)$, where $r \in \{-(3\lambda+3), -(5\lambda+3) \mid \lambda \text{ is any non-negative integer}\}$. Our emphasis throughout this paper is to exhibit the use of $q$-identities to generate the congruences for $p_r(n)$.
Keywords: $q$-identity, Ramanujan's general partition function congruences.
Mots-clés : partition congruence 
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B. R. Srivatsa Kumar; Shruthi Shruthi; Halgar J. Gowtham. Some new congruence identities of general partition for $p_r(n)$. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 1, pp. 75-79. http://geodesic.mathdoc.fr/item/JSFU_2022_15_1_a7/