4 papers · 1 filter
Integer Partitions With Restricted Distinct Parts
Rinchin Drema, Nipen Saikia
For any positive integers and , let denotes the number of partitions of a positive integer into distinct parts such that no part is congruent to or $t…
Some New Congruences and Partition-Theoretic Interpretations for the Coefficients of Some Rogers-Ramanujan Type Identities
Sabi Biswas, Nipen Saikia
Ramanujan listed several q-series identities in his lost notebook. The most well known q-series identities are the Rogers-Ramanujan type identities which are first discovered by Ro…
Some New Congruences For Overpartition Function With -Regular Non-Overlined Parts
Nipen Saikia, Adam Paksok
Alanzi et al. (2022) investigated overpartition of a positive integer with -regular non-overlined parts denoted by , and proved some results fo…
Some new congruences for generalized overcubic partition function
Adam Paksok, Nipen Saikia
Amdeberhan et al. (2024) introduced the notion of a generalized overcubic partition function and proved an infinite family of congruences modulo a prime $p\ge 3…