• MAHADI DDAMULIRA

Articles written in Proceedings – Mathematical Sciences

• On a problem of Pillai with Fibonacci numbers and powers of 2

In this paper, we find all integers $c$ having at least two representations as a difference between a Fibonacci number and a power of 2.

• The $x$-coordinates of Pell equations and sums of two Fibonacci numbers II

Let $\{Fn\}_{n≥0}$ be the sequence of Fibonacci numbers defined by $F_0 = 0$, $F_1 = 1$ and $F_{n+2} = F_{n+1}+F_n$ for all $n\geq 0$. In this paper, for an integer $d \geq 2$ which is square-free, we show that there is at most one value of the positive integer $x$ participating in the Pell equation $x^2 − dy^2 = \pm 4$ which is a sum of two Fibonacci numbers, with a few exceptions that we completely characterize.

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
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• # Editorial Note on Continuous Article Publication

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