M. Ddamulira

activity

20172022

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

33 citations · 37 across the 6 of their papers we have counts for

collaborators

12 papers

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

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…

math.NT2020

Padovan numbers that are concatenations of two distinct repdigits

Mahadi Ddamulira

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

math.NT2020

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Mahadi Ddamulira, Florian Luca

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 all $n \geq 0$ . In this paper, we show…

math.NT2019

Repdigits as sums of three Padovan numbers

Mahadi Ddamulira

Let ${P_{n}}_{n \geq 0}$ be the sequence of Padovan numbers defined by $P_{0} = 0$ , $P_{1} = 1 = P_{2}$ and $P_{n + 3} = P_{n + 1} + P_{n}$ for all $n \geq 0$ . In this paper, we find all repd…

math.NT2019

On the $x$ --coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers

Mahadi Ddamulira

Let ${L_{n}}_{n \geq 0}$ be the sequence of Lucas numbers given by $L_{0} = 2, L_{1} = 1$ and $L_{n + 2} = L_{n + 1} + L_{n}$ for all $n \geq 0$ . In the first paper, for an integer $d \geq 2$ w…

Perrin numbers that are concatenations of two distinct repdigits

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

Padovan numbers that are concatenations of two distinct repdigits

On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences

Repdigits as sums of three Padovan numbers

On the x--coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers

On the $x$ --coordinates of Pell equations which are products of two: Lucas numbers, Pell numbers