M. Ulas

activity

20072023

most citedSome observations and speculations on partitions into

d

-th powers

9 citations · 23 across the 38 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.CO2016

On formal inverse of the Prouhet-Thue-Morse sequence

Maciej Gawro, Maciej Ulas

Let $p$ be a prime number and consider a $p$ -automatic sequence $u = (u_{n})_{n \in N}$ and its generating function $U (X) = \sum_{n = 0}^{\infty} u_{n} X^{n} \in F_{p} [[X]]$ . M…

math.CO2011

Arithmetic properties of the sequence of degrees of Stern polynomials and related results

Maciej Ulas

Let $B_{n} (t)$ be a $n$ -th Stern polynomial and let $e(n)=\op{deg}B_{n}(t)$ be its degree. In this note we continue our study started in \cite{Ul} of the arithmetic properties of t…

math.CO2011

On certain arithmetic properties of Stern polynomials

Maciej Ulas, Oliwia Ulas

We prove several theorems concerning arithmetic properties of Stern polynomials defined in the following way: $B_{0} (t) = 0, B_{1} (t) = 1, B_{2 n} (t) = t B_{n} (t)$ , and $B_{2n+1}(t)=B_{n}(…