U. K. Dutta

collaborators

2 papers

math.NT2026

On the infinite sum of reciprocals of the fourth powers of balancing numbers

Subhasis Panda, Aditya Kumar Dash, Utkal Keshari Dutta

In this note, we study the infinite reciprocal sum $\sum_{k = n}^{\infty} 1/ B_{k}^{4}$ involving the fourth powers of balancing numbers $B_{n}$ . We show that, for every $n \geq 2$ , \begin{equ…

math.NT2025

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences

Bibhu Prasad Tripathy, Asutosh Satapathy, Utkal Keshari Dutta +1

Let $P_{n}$ be the $n$ -th Padovan number, $E_{n}$ be the $n$ -th Perrin number and $N_{n}$ be the $n$ -th Narayana's cows number. Let $b$ be a positive integer such that $b…

On the infinite sum of reciprocals of the fourth powers of balancing numbers

On Diophantine equations involving intersection of Thabit and Williams numbers base b and some ternary recurrent sequences

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences