On transcendental formal power series over finite fields

被引：0

作者：

Kekec, Gulcan ^{[1
]}

机构：

[1] Istanbul Univ, Fac Sci, Dept Math, TR-34134 Istanbul, Turkey

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2020年 / 63卷 / 04期

关键词：

Bundschuh's classification of transcendental formal power series; over finite fields; U-number; lacunary power series; transcendence measure; ALGEBRAIC COEFFICIENTS;

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 and K(x) be the quotient field of the ring of polynomials in x with coefficients in K. In the field K of formal power series over K, we treat certain lacunary power series with algebraic coefficients in a finite extension of K(x). We show that the values of these series at certain U-1-number arguments are either algebraic over K(x) or U-numbers.

引用

页码：349 / 357

页数：9

共 9 条

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