Rational digit systems over finite fields and Christol's Theorem
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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
On Diophantine exponents for Laurent series over a finite field
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DOI: 10.1016/j.jnt.2017.09.008
Abstract: Abstract In this paper, we study the properties of Diophantine exponents w n and w n ⁎ for Laurent series over a finite field. We prove that for an integer n ≥ 1 and a… read more here.
Keywords: exponents laurent; finite field; diophantine exponents; laurent series ... See more keywords
Study of skew inverse Laurent series rings
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DOI: 10.1142/s0219498817502218
Abstract: In the present note, we continue the study of skew inverse Laurent series ring R((x−1; α,δ)) and skew inverse power series ring R[[x−1; α,δ]], where R is a ring equipped with an automorphism α and… read more here.
Keywords: series rings; study skew; laurent series; series ... See more keywords
Some remarks on formal power series and formal Laurent series
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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