M. Ddamulira

activity

20172025

most citedOn a problem of Pillai with Fibonacci numbers and powers of 2

33 citations · 58 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.NT2021

Perrin numbers that are concatenations of two distinct repdigits

Herbert Batte, Taboka P. Chalebgwa, Mahadi Ddamulira

Let $(P_{n})_{n \geq 0}$ be the sequence of Perrin numbers defined by ternary relation $P_{0} = 3$ , $P_{1} = 0$ , $P_{2} = 2$ , and $P_{n + 3} = P_{n + 1} + P_{n}$ for all $n \geq 0$ . In this paper,…

math.NT2021★ 1 cited

On the Shorey-Tijdeman Diophantine equation involving terms of Lucas sequences

Mahadi Ddamulira, Florian Luca, Robert Tichy

Let $r \geq 1$ be an integer and $U := {U_{n}}_{n \geq 0}$ be the Lucas sequence given by $U_{0} = 0, U_{1} = 1$ , and $U_{n + 2} = r U_{n + 1} + U_{n}$ for $n \geq 0$ . In this paper, we explain how to…