On the algebraicity of generalized power series
KS Kedlaya - Beiträge zur Algebra und Geometrie/Contributions to …, 2017 - Springer
Let K be an algebraically closed field of characteristic p. We exhibit a counterexample
against a theorem asserted in one of our earlier papers, which claims to characterize the …
against a theorem asserted in one of our earlier papers, which claims to characterize the …
[PDF][PDF] Purely periodic β-expansions with Pisot or Salem unit base in Fq ((X− 1))
SB Hariz, M Hbaib, F Mahjoub - Math. Z. DOI, 2015 - researchgate.net
Purely periodic β-expansions with Pisot or Salem unit base in Fq((X )) Page 1 Purely periodic
β-expansions with Pisot or Salem unit base in Fq((X −1 )) S. Ben Hariz, M. Hbaib and F …
β-expansions with Pisot or Salem unit base in Fq((X −1 )) S. Ben Hariz, M. Hbaib and F …
[HTML][HTML] Dynamical Diophantine approximation of beta expansions of formal Laurent series
C Ma, S Wang - Finite Fields and Their Applications, 2015 - Elsevier
Let F q be a finite field with q elements and F q ((X− 1)) be the field of the formal Laurent
series with an indeterminant X. Let T β be the β-transformation defined on F q ((X− 1)). This …
series with an indeterminant X. Let T β be the β-transformation defined on F q ((X− 1)). This …
Purely periodic β-expansions in cubic Salem base in Fq ((x− 1))
F Mahjoub - Publications de l'Institut Mathematique, 2016 - doiserbia.nb.rs
Let Fq be the finite field with q elements and β Salem series in Fq ((X− 1)). It is proved in [15]
that, in this case, all elements in Fq (X, β) have purely periodic β-expansion. We characterize …
that, in this case, all elements in Fq (X, β) have purely periodic β-expansion. We characterize …
Purely periodic -expansions with Pisot or Salem unit base in
SB Hariz, M Hbaib, F Mahjoub - Mathematische Zeitschrift, 2016 - Springer
Purely periodic $$\beta $$ -expansions with Pisot or Salem unit base in $$\mathbb {F}_q((X^{-1}))$$
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ON THE PERIOD OF β-EXPANSION OF PISOT OR SALEM SERIES OVER Fq ((x− 1))
G Rim, Z Sourour - 대한수학회보, 2015 - dbpia.co.kr
In [6], it is proved that the lengths of periods occurring in the β-expansion of a rational series
r noted by Perβ (r) depend only on the denominator of the reduced form of r for quadratic …
r noted by Perβ (r) depend only on the denominator of the reduced form of r for quadratic …