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math.NT2023
Analytic continuation of -generalized Fibonacci zeta function
Dilip Kumar Sahoo, Nabin Kumar Meher
In this paper, for any positive integer we define -generalized Fibonacci zeta function. We then study its analytic continuation to the whole complex plane $\math…
math.NT2023
Infinite families of congruences for and -core partitions
Ankita Jindal, Nabin Kumar Meher
A partition of is called a -core partition if none of its hook number is divisible by In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for -c…
math.NT2023
Arithmetic density and congruences of -core partitions
Nabin Kumar Meher, Ankita Jindal
A partition of is called a -core partition if none of its hook number is divisible by In 2019, Hirschhorn and Sellers \cite{Hirs2019} obtained a parity result for -c…