Manjil P. Saikia

most citedSome Missed Congruences modulo powers of

2

for

t

-colored overpartitions

5 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2023

Ramanujan-type Congruences for Partition $k$ -Tuples with $5$ -Cores

Manjil P. Saikia, Abhishek Sarma, Pranjal Talukdar

We prove several Ramanujan-type congruences modulo powers of $5$ for partition $k$ -tuples with $5$ -cores, for $k = 2, 3, 4$ . We also prove some new infinite families of congruences m…

math.NT2023★ 5 cited

Some Missed Congruences modulo powers of $2$ for $t$ -colored overpartitions

Manjil P. Saikia

Recently, Nayaka and Naika (2022) proved several congruences modulo $16$ and $32$ for $t$ -colored overpartitions with $t = 5, 7, 11$ and $13$ . We extend their list using an algorithmic…

math.HO2014

A study of the crank function in Ramanujan's Lost Notebook

Manjil P. Saikia

In this note, we shall give a brief survey of the results that are found in Ramanujan's Lost Notebook related to cranks. Recent work by B. C. Berndt, H. H. Chan, S. H. Chan and W.…

math.HO2014★ 1 cited

Notes on Probability Theory

Rupam Haloi, Manjil P. Saikia

This is the first of the proposed sets of notes to be published in the website Gonit Sora (http://gonitsora.com). The notes will hopefully be able to help the students to learn the…

Ramanujan-type Congruences for Partition k-Tuples with 5-Cores

Some Missed Congruences modulo powers of 2 for t-colored overpartitions

A study of the crank function in Ramanujan's Lost Notebook

Notes on Probability Theory

Ramanujan-type Congruences for Partition $k$ -Tuples with $5$ -Cores

Some Missed Congruences modulo powers of $2$ for $t$ -colored overpartitions