3 papers
math.NT2026
Resolution of the Skolem Problem for -Generalized Lucas Sequences
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
This paper provides a complete solution to Skolem's problem for the -generalized Lucas sequence with a primary focus on its behavior at negative…
math.NT2025
Solving Skolem problem for negative indexed generalized Pell numbers
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
In this paper, we address the Skolem problem for the -generalized Pell sequence extended to negative indices. We focus on identifying and bounding the i…
math.GM2024
Repdigits as difference of two balancing or Lucas-balancing numbers
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we study the problem of writing repdigits as the difference of two balancing or Lucas-balan…