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pro vyhledávání: '"GAWRON, Maciej"'
Let $F(x)=\prod_{n=0}^{\infty}(1-x^{2^{n}})$ be the generating function for the Prouhet-Thue-Morse sequence $((-1)^{s_{2}(n)})_{n\in\N}$. In this paper we initiate the study of the arithmetic properties of coefficients of the power series expansions
Externí odkaz:
http://arxiv.org/abs/1703.01955
Autor:
Gawron, Maciej
Let $A,B,C,D$ be rational numbers such that $ABC \neq 0$, and let $n_1>n_2>n_3>0$ be positive integers. We solve the equation $$ Ax^{n_1}+Bx^{n_2}+Cx^{n_3}+D = f(g(x)),$$ in $f,g \in \mathbb{Q}[x]$. In sequel we use Bilu-Tichy method to prove finitne
Externí odkaz:
http://arxiv.org/abs/1512.02817
Autor:
Gawron, Maciej, Ulas, Maciej
In this paper we investigate Diophantine equations of the form $T^2=G(\overline{X}),\; \overline{X}=(X_{1},\ldots,X_{m})$, where $m=3$ or $m=4$ and $G$ is specific homogenous quintic form. First, we prove that if $F(x,y,z)=x^2+y^2+az^2+bxy+cyz+dxz\in
Externí odkaz:
http://arxiv.org/abs/1502.07307
Autor:
Gawron, Maciej
We investigate the Stern polynomials defined by $B_0 ( t ) =0,B_1 ( t ) =1$, and for $n \geq 2$ by the recurrence relations $B_{2n}( t) =tB_{n}( t) ,$ $B_{2n+1}( t) =B_n( t) +B_{n+1}( t) $. We prove that all possible rational roots of that polynomial
Externí odkaz:
http://arxiv.org/abs/1401.3553
Autor:
Gawron, Maciej ⁎, Ulas, Maciej
Publikováno v:
In Discrete Mathematics 6 May 2016 339(5):1459-1470
Autor:
Gawron, Maciej, Ulas, Maciej ⁎
Publikováno v:
In Journal of Number Theory February 2016 159:101-122
Autor:
Dorozińska Weronika, Gawron Maciej, Stańko Paulina, Stępień Natalia, Świstak Patrycja, Ji Han Yeon
Publikováno v:
Management Systems in Production Engineering, Vol 21, Iss 1, Pp 25-30 (2016)
The paper discusses issues related to the development of solar energy production in Poland and selected EU countries in the years 2009-2014. The analysis of data concerning the production of solar energy in Poland and selected EU countries is present
Externí odkaz:
https://doaj.org/article/6ae21dbc72604c2da0ee26da4367591c
Autor:
ZBOROWSKA, Jagoda1 z.jagoda@poczta.fm, GAWRON, Maciej1 mgwr.gawron@gmail.com, BURDA, Michał1 michal.burda3@gmail.com, BOJKO, Karolina1 karolina.bojko@op.pl, SMYK, Małgorzta1 m.smyk@wp.pl, KRZESZOWSKI, Michał2 michal.krzeszowski@northumbria.ac.uk
Publikováno v:
Management Systems in Production Engineering. Jul2015, Vol. 19 Issue 3, p167-170. 4p.
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