Irrationality and transcendence of infinite series of rational terms

The aim of this paper is to prove two results concerning the irrationality and transcendence of a certain class of infinite series which consist of rational numbers and converge very quickly.

Authors

Publication Details

Journal
Notes on Number Theory and Discrete Mathematics
Published
2024-11-27
DOI
https://doi.org/10.7546/nntdm.2024.30.4.803-810
Primary Topic
History and Theory of Mathematics
Type
article
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article

Irrationality and transcendence of infinite series of rational terms

Lazhar Dhaouadi
1 links
Notes on Number Theory and Discrete Mathematics
History and Theory of Mathematics
article

Irrationality and transcendence of infinite series of rational terms

Lazhar Dhaouadi
article en

Abstract

The aim of this paper is to prove two results concerning the irrationality and transcendence of a certain class of infinite series which consist of rational numbers and converge very quickly.

Notes on Number Theory and Discrete MathematicsVol. 30(4)
Reduced inequalities
Openalex Percentile: Top 74%
History and Theory of Mathematics
DOIOpen Access PDFOpenAlex
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Irrationality and transcendence of infinite series of rational terms — Lazhar Dhaouadi · Notes on Number Theory and Discrete Mathematics (2024) | TGRS Research Map | TGRS