Florian Luca

collaborators

2 papers

math.NT2026

On the Diophantine Inequality $∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$

Banu Ä°rez AydÄ±n, Herbert Batte, Ä°lker Ä°nam +2

In this paper, we show that there are $57$ nonnegative integer solutions $(a, b, x)$ to the inequality $1 \leq ∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$ and we list them e…

math.NT2024

On the average value of the minimal Hamming multiple

Eugen J. Ionascu, Florian Luca, Thomas Merino

We find a nontrivial upper bound on the average value of the function M(n) which associates to every positive integer n the minimal Hamming weight of a multiple of n. Some new resu…

On the Diophantine Inequality ∣x2−2a⋅3b∣<3max{a,b}

On the average value of the minimal Hamming multiple

On the Diophantine Inequality $∣ x^{2} - 2^{a} \cdot 3^{b} ∣ < 3 max {a, b}$