2 citations · 4 across the 8 of their papers we have counts for
9 papers
Order and Pascal depth of Pascal finite automorphisms of the plane
Elżbieta Adamus, Zbigniew Hajto
Let be a field of characteristic . For a Pascal finite automorphism of the affine plane we show that its order is determined by its Pascal depth, $|F|=p^{\lceil\log_pτ…
On the Jung-van der Kulk decomposition into Pascal finite factors
Elżbieta Adamus, Zbigniew Hajto
Combining the Jung--van der Kulk theorem with the conjugacy invariance of the Pascal finite class, we show that every polynomial automorphism of the plane over an arbitrary fie…
Strongly nilpotent automorphisms are Pascal finite
Elżbieta Adamus, Zbigniew Hajto
We compare two classes of polynomial automorphisms, strongly nilpotent and Pascal finite. We conclude that every strongly nilpotent automorphism is a Pascal finite one, but not vic…
A note on algorithmic approach to inverting multivariate formal power series
Elżbieta Adamus
In our previous paper an effective algorithm for inverting polynomial automorphisms was proposed. We extend its application to the case of formal power series over a field of arbit…
On the differential transcendentality of the Morita p-adic gamma function
Elżbieta Adamus
In this note we prove that for any given prime number the Morita -adic gamma function is differentially transcendental over .
Algorithm for studying polynomial maps and reductions modulo prime number
Elżbieta Adamus, Paweł Bogdan
In our previous paper an effective algorithm for inverting polynomial automorphisms was proposed. Also the class of Pascal finite polynomial automorphisms was introduced. Pascal fi…