Nabin Kumar Meher

collaborators

4 papers

math.NT2023

Analytic continuation of $ℓ$ -generalized Fibonacci zeta function

Dilip Kumar Sahoo, Nabin Kumar Meher

In this paper, for any positive integer $ℓ \geq 2,$ we define $ℓ$ -generalized Fibonacci zeta function. We then study its analytic continuation to the whole complex plane $\math…

math.NT2023

Infinite families of congruences for $2$ and $13$ -core partitions

Ankita Jindal, Nabin Kumar Meher

A partition of $n$ is called a $t$ -core partition if none of its hook number is divisible by $t .$ In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for $3$ -c…

math.NT2023

Arithmetic density and congruences of $t$ -core partitions

Nabin Kumar Meher, Ankita Jindal

A partition of $n$ is called a $t$ -core partition if none of its hook number is divisible by $t .$ In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for $3$ -c…

math.NT2016

Linear combinations of prime powers in sums of terms of binary recurrence sequences

N. K. Meher, S. S. Rout

Let ${U_{n}}_{n \geq 0}$ be a non-degenerate binary recurrence sequence with positive discriminant. Let ${p_{1}, \dots, p_{s}}$ be fixed prime numbers and ${b_{1}, \dots, b_{s}}$ …

Analytic continuation of ℓ-generalized Fibonacci zeta function

Infinite families of congruences for 2 and 13-core partitions

Arithmetic density and congruences of t-core partitions

Linear combinations of prime powers in sums of terms of binary recurrence sequences

Analytic continuation of $ℓ$ -generalized Fibonacci zeta function

Infinite families of congruences for $2$ and $13$ -core partitions

Arithmetic density and congruences of $t$ -core partitions