Articles with "formal laurent" as a keyword



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Rational digit systems over finite fields and Christol's Theorem

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Published in 2017 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2016.07.021

Abstract: Abstract Let P , Q ∈ F q [ X ] ∖ { 0 } be two coprime polynomials over the finite field F q with deg ⁡ P > deg ⁡ Q . We… read more here.

Keywords: christol theorem; finite fields; laurent series; digit expansions ... See more keywords
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Some remarks on formal power series and formal Laurent series

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Published in 2017 at "Mathematica Slovaca"

DOI: 10.1515/ms-2016-0297

Abstract: Abstract In this article we consider the topology on the set of formal Laurent series induced by the ultrametric defined via the order. In particular, we establish that the product of formal Laurent series, considered… read more here.

Keywords: formal power; laurent series; power series; series ... See more keywords