4 papers
Congruences modulo powers of for partitions with colored odd parts
Saikat Maity, Manjil P. Saikia, Prabal Talukdar
Let denote the number of partitions of in which even parts occur in one color and odd parts may occur in colors. We prove infinite families of congruences modulo p…
Extending Recent Arithmetic Properties of Overcubic Partition Tuples
Saikat Maity, Manjil P. Saikia
In recent years, several mathematicians have looked at a class of partitions called the overcubic partition -tuples, for small values of . They have proved several divisibili…
Arithmetic Properties of Generalized Cubic and Overcubic Partitions
Hirakjyoti Das, Saikat Maity, Manjil P. Saikia
We prove several congruences satisfied by the generalized cubic and generalized overcubic partition functions, recently introduced by Amdeberhan, Sellers, and Singh. We also prove…
Laurent series expansions of -functions
Tushar Karmakar, Saikat Maity, Bibekananda Maji
One of the main objectives of the current paper is to revisit the well known Laurent series expansions of the Riemann zeta function , Hurwitz zeta function and Diric…