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.
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页码：968 / 988
页数：21
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