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.
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页码：265 / 286
页数：22
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