On Mahler's Um-numbers in fields of formal power series over finite fields

被引：0

作者：

Can, Busra ^{[1
,2
]}

Kekec, Gulcan ^{[3
]}

机构：

[1] Istanbul Univ, Inst Grad Studies Sci, Esnaf Hosp Bldg 4th Floor, Istanbul, Turkiye

[2] Dogus Univ, Fac Engn, Dept Comp Engn, Nato Yolu St 265, TR-34775 Istanbul, Turkiye

[3] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkiye

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2024年 / 67卷 / 01期

关键词：

Mahler's classification of transcendental formal power series over a finite field; U-number; continued fraction; transcendence measure; CONTINUED FRACTIONS; APPROXIMATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a finite field, K(x) be the quotient field of the ring of polynomials in x with coefficients in K and K be the field of formal power series over K. In this paper, we treat polynomials whose coefficients belong to a field extension of degree m over K(x). We show that the values of these polynomials at certain U-1-numbers in the field K are U-m- numbers in K.

引用

页码：79 / 89

页数：11

共 15 条

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[9]

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[10]

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