5 papers
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…
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…
Some Diophantine Equations involving associated Pell numbers and repdigits
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
In this paper, we explore the relationship between repdigits and associated Pell numbers, specifically focusing on two main aspects: expressing repdigits as the difference of two a…
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…
Balancing and Lucas-balancing numbers as difference of two repdigits
Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda
Positive integers with all digits equal are called repdigits. In this paper, we find all balancing and Lucas-balancing numbers, which can be expressed as the difference of two repd…