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

页码：517 / 529

页数：13

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