M. Gawron

activity

20142017

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2 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.CO2014

A note on the arithmetic properties of Stern Polynomials

Maciej Gawron

We investigate the Stern polynomials defined by $B_{0} (t) = 0, B_{1} (t) = 1$ , and for $n \geq 2$ by the recurrence relations $B_{2 n} (t) = t B_{n} (t),$ $B_{2n+1}( t) =B_n( t) +B_{n+…