P. Mahanta

activity

20202026

most citedParity biases in partitions and restricted partitions

10 citations · 21 across the 14 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021★ 3 cited

Refinement of some partition identities of Merca and Yee

Pankaj Jyoti Mahanta, Manjil P. Saikia

Recently, Merca and Yee proved some partition identities involving two new partition statistics. We refine these statistics and generalize the results of Merca and Yee. We also cor…

math.CO2021★ 10 cited

Parity biases in partitions and restricted partitions

Koustav Banerjee, Sreerupa Bhattacharjee, Manosij Ghosh Dastidar +2

Let $p_{o} (n)$ (resp. $p_{e} (n)$ ) denote the number of partitions of $n$ with more odd parts (resp. even parts) than even parts (resp. odd parts). Recently, Kim, Kim, and Lovejoy p…

math.CO2021

Partial sums of the Gibonacci sequence

Pankaj Jyoti Mahanta

Recently, Chu studied some properties of the partial sums of the sequence $P^{k} (F_{n})$ , where $P (F_{n}) = (\sum_{i = 1}^{n} F_{i})_{n \geq 1}$ and $(F_{n})_{n \geq 1}$ is the Fibonacci sequen…