15 citations · 29 across the 11 of their papers we have counts for
6 papers · 1 filter
Conguences for Odd Unimodal Sequences and a Problem of Bringmann And Lovejoy
Koustav Banerjee, Manosij Ghosh Dastidar
In this paper, we give a family of the arithmetic progressions in which the numbers of odd unimodal and odd strongly unimodal sequences are divisible by 2 and by 4. In particular,…
Sign Laws and Mock Theta Functions
Manosij Ghosh Dastidar
Let \[ ρ(q)=\sum_{m\geq 0}\frac{q^{2m(m+1)}}{(1+q+q^2)(1+q^3+q^6)\cdots(1+q^{2m+1}+q^{4m+2})} =\sum_{n\geq 0}r(n)q^n \] be Ramanujan's third order mock theta function. We prove the…
Sign law for Ramanujan's third order mock theta function
Manosij Ghosh Dastidar
We study the coefficients of Ramanujan's third order mock theta function \[ ρ(q)=\sum_{m\geq 0} \frac{q^{2m(m+1)}}{(1+q+q^2)(1+q^3+q^6)\cdots(1+q^{2m+1}+q^{4m+2})} =\sum_{n\geq 0}r…
Some congruences modulo 5 and 25 for overpartition
Shane Chern, Manosij Ghosh Dastidar
We present two new Ramanujan-type congruences modulo 5 for overpartition. We also give an affirmative answer to a conjecture of Dou and Lin, which includes four congruences modulo…
Some results on the cubic partition
Prabir Das Adhikary, Koustav Banerjee, Manosij Ghosh Dastidar
In this paper we explore Kruyswijk's method and show how to obtain congruences for cubic partition. That apart we also examine inequalities for a(n) and provide upper bound for it…
Congruences and recursions for the cubic partition
Shane Chern, Manosij Ghosh Dastidar
Let denote the number of cubic partitions. In this paper, we shall present two new congruences modulo for . We also provide an elementary alternative proof of…