Herbert Batte

most citedOn the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime

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

collaborators

Showing math.NTShow all

2 papers · 1 filter

math.NT2024

On a problem of Pillai involving S-units and Lucas numbers

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

Let ${L_{n}}_{n \geq 0}$ be the sequence of Lucas numbers. In this paper, we look at the exponential Diophantine equation $L_{n} - 2^{x} 3^{y} = c$ , for $n, x, y \in Z_{\geq 0}$ . We trea…

math.NT2022★ 1 cited

On the multiplicity in Pillai's problem with Fibonacci numbers and powers of a fixed prime

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

Let ${F_{n}}_{n \geq 0}$ be the sequence of Fibonacci numbers and let $p$ be a prime. For an integer $c$ we write $m_{F, p} (c)$ for the number of distinct representations of $c$ as…