ALGEBRAIC DEGREE OF SERIES OF RECIPROCAL ALGEBRAIC INTEGERS

被引：1
作者：
Laursen, Mathias Lokkegaard [1 ]
机构：
[1] Aarhus Univ, Dept Math, Aarhus, Denmark
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2023年 / 53卷 / 02期
关键词：
algebraic degree; algebraic integers; infinite series; irrationality;
D O I：
10.1216/rmj.2023.53.517
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for any linear combination over Q of numbers S-n=1(8) b(1,n)/a(1,n), . . ., S-n=1(8) b(K,n)/a(K,n )to have algebraic degree greater than an arbitrary fixed integer D when the numbers ai,n are algebraic integers of sufficiently rapidly increasing modulus and the b(i,n) are positive integers that are not too large.
引用
收藏
页码：517 / 529
页数：13
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