G. K. Panda

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math.NT2026

Resolution of the Skolem Problem for $k$ -Generalized Lucas Sequences

Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda

This paper provides a complete solution to Skolem's problem for the $k$ -generalized Lucas sequence $(L_{n}^{(k)})_{n \in Z}$ with a primary focus on its behavior at negative…

math.NT2024

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$

P. K. Bhoi, S. S. Rout, G. K. Panda

Suppose that $(U_{n})_{n \geq 0}$ is a binary recurrence sequence and has a dominant root $I^\pm$ with $I^\pm > 1$ and the discriminant $D$ is square-free. In this paper, we study the Diop…

Resolution of the Skolem Problem for k-Generalized Lucas Sequences

On the resolution of the Diophantine equation Un​+Um​=xq

Resolution of the Skolem Problem for $k$ -Generalized Lucas Sequences

On the resolution of the Diophantine equation $U_{n} + U_{m} = x^{q}$