Piotr Miska

activity

20172025

most citedOn continued fraction partial quotients of square roots of primes

3 citations · 5 across the 17 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.NT2019

On distribution of subsequences of primes having prime indices with respect to the $(R)$ -denseness and convergence exponent

Piotr Miska, János T. Tóth, Błażej Żmija

Denote by $N$ and $P$ the set of all positive integers and prime numbers, respectively. Let $P = {p_{1} < p_{2} < \dots < p_{n} < \dots}$ , where $p_{n}$ is the $n$ -th p…

math.NT2019

On consecutive 1's in continued fractions expansions of square roots of prime numbers

Piotr Miska, Maciej Ulas

In this note, we study the problem of existence of sequences of consecutive 1's in the periodic part of the continued fractions expansions of square roots of primes. We prove uncon…

math.NT2019

On some properties of the number of permutations being products of pairwise disjoint $d$ -cycles

Piotr Miska, Maciej Ulas

Let $d \geq 2$ be an integer. In this paper we study arithmetic properties of the sequence $(H_{d} (n))_{n \in N}$ , where $H_{d} (n)$ is the number of permutations in $S_{n}$ being produ…

On distribution of subsequences of primes having prime indices with respect to the (R)-denseness and convergence exponent

On consecutive 1's in continued fractions expansions of square roots of prime numbers

On some properties of the number of permutations being products of pairwise disjoint d-cycles

On distribution of subsequences of primes having prime indices with respect to the $(R)$ -denseness and convergence exponent

On some properties of the number of permutations being products of pairwise disjoint $d$ -cycles