A note on the arithmetic nature of some infinite series

被引：1

作者：

Meher, N. K. ^{[1
]}

机构：

[1] HBNI, Natl Inst Sci Educ & Res, Sch Math Sci, PO Jatni, Khurdha 752050, Odisha, India

来源：

ACTA MATHEMATICA HUNGARICA | 2019年 / 159卷 / 01期

关键词：

transcendental number; infinite series; Nesterenko's theorem; linear independence; TRANSCENDENCE; VALUES; SUMS;

D O I：

10.1007/s10474-019-00932-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Weatherby [14] studied some infinite series and proved that they are either zero or transcendental. Here, we extend his results. Moreover, we find a linear independence criteria of these series under some mild conditions.

引用

页码：265 / 286

页数：22