The irrationality of certain infinite series

Author:

Badea C.

Abstract

The aim of this paper is to prove the irrationality of a certain class of infinite series. The main theorem is related to some results due to Erdos and Straus [7], Erdos [5] and Sándor [15]. As applications of the main result, the solutions of two problems posed by Erdös and Graham [6] are given, among others.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Entire functions with undecidable arithmetic properties;Journal of Number Theory;2021-06

2. The irrationality of infinite series of a special kind;Mathematica Slovaca;2016-08-01

3. Applications of a transcendence criterion for reciprocal sums of binary linear recurrences;Forum Mathematicum;2015-01-01

4. Rational belief hierarchies;Journal of Mathematical Economics;2014-03

5. ERDŐS’ METHOD FOR DETERMINING THE IRRATIONALITY OF PRODUCTS;Bulletin of the Australian Mathematical Society;2011-07-13

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