B. Patel

most citedPell and Pell-Lucas numbers as sums of three repdigits

2 citations · 2 across the 1 of their papers we have counts for

collaborators

2 papers

math.NT2021

Diophantine Equation with Balancing-like Sequences Associated to the Pillai-Tijdeman-type Problem

Bijan Kumar Patel, Prashant Tiwari

Let ${x_{n}}_{n \geq 0}$ be the balancing-like sequence defined by $x_{n + 1} = A x_{n} - x_{n - 1}$ , for $A > 2$ , where $x_{0} = 0$ and $x_{1} = 1$ . In this paper, we demonstrate how to f…

math.NT2020★ 2 cited

Pell and Pell-Lucas numbers as sums of three repdigits

Kisan Bhoi, Bijan Kumar Patel, Prasanta Kumar Ray

In this study, we find all Pell and Pell-Lucas numbers which are sums of three base 10 repdigits. The proof of our main theorem uses lower bounds for linear forms in logarithms of…