University of Ostrava

output

20022026

most citedImaging linear and circular polarization features in leaves with complete Mueller matrix polarimetry

59 citations

Showing 2017 · math.NTShow all

7 papers · 2 filters

math.NT2017★ 3 cited

Diophantine triples in linear recurrence sequences of Pisot type

Clemens Fuchs, Christoph Hutle, Florian Luca

The study of Diophantine triples taking values in linear recurrence sequences is a variant of a problem going back to Diophantus of Alexandria which has been studied quite a lot in…

math.NT2017★ 2 cited

Constrained ternary integers

Florian Luca, Pieter Moree, Robert Osburn +2

An integer $n$ is said to be ternary if it is composed of three distinct odd primes. In this paper, we asymptotically count the number of ternary integers $n \leq x$ with the const…

math.NT2017★ 1 cited

A variation on the theme of Nicomachus

Florian Luca, Geremías Polanco, Wadim Zudilin

We prove some conjectures of K. Stolarsky concerning the first and third moment of the Beatty sequences with the golden section and its square.

math.NT2017★ 19 cited

On a problem of Pillai with $k$ -generalised Fibonacci numbers and powers of $2$

Mahadi Ddamulira, Carlos A. Gómez, Florian Luca

For an integer $k \geq 2$ , let ${F_{n}^{(k)}}_{n \geq 0}$ be the $k$ --generalized Fibonacci sequence which starts with $0, \dots, 0, 1$ ( $k$ terms) and each term afterwar…

math.NT2017★ 4 cited

Denominators of Bernoulli polynomials

Olivier Bordellès, Florian Luca, Pieter Moree +1

For a positive integer $n$ let $P_{n} = \prod_{s_{p} (n) \geq p} p,$ where $p$ runs over all primes and $s_{p} (n)$ is the sum of the base $p$ digits of $n$ . For all $n$ we prove th…

math.NT2017★ 1 cited

Primitive root bias for twin primes

Stephan Ramon Garcia, Elvis Kahoro, Florian Luca

Numerical evidence suggests that for only about $2%$ of pairs $p, p + 2$ of twin primes, $p + 2$ has more primitive roots than does $p$ . If this occurs, we say that $p$ is exceptional…