Juma Kasozi

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20172025

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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.NT2023

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

Let $(L_{n}^{(k)})_{n \geq 2 - k}$ be the sequence of $k$ -generalized Lucas numbers for some fixed integer $k \geq 2$ , whose first $k$ terms are $0, \dots, 0, 2, 1$ and each term a…

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

Multiplicative independence in the sequence of k-generalized Lucas numbers

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers