Diophantine approximation and continued fraction expansion for quartic power series over F3

被引：0

作者：

Ayadi, Khalil ^{[1
]}

Azaza, Awatef ^{[2
]}

Beldi, Salah ^{[3
]}

机构：

[1] Sfax Univ, Fac Sci, Higher Inst Ind Management, Dept Math, Sfax, Tunisia

[2] Sfax Univ, Fac Sci, Dept Math, Sfax, Tunisia

[3] Sfax Univ, Fac Sci, Higher Inst Appl Biol Sci, Dept Math, Sfax, Tunisia

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2022年 / 53卷 / 04期

关键词：

Finite fields; Formal power series; Continued fraction; ALGEBRAIC-FUNCTIONS; FIELDS;

D O I：

10.1007/s13226-021-00203-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main contribution of this paper is providing families of examples conjecturally generalizing the almost unique known so far example introduced first by Mills and Robbins (J Number Theory 23:388-404, 1986) of quartic power series over F-3(T) having an approximation exponent equal to 2 in relation with Roth's theorem as proved by Lasjaunias (J Number Theory 65:206-224 1997), and having a continued fraction expansion with an unbounded sequence of partial quotients.

引用

页码：968 / 988

页数：21

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