A useful application of Brun's irrationality criterion

Lee A Butler

doi:10.1016/j.exmath.2014.04.001

A useful application of Brun's irrationality criterion

Lee A Butler

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We show that Apéry's sequence of rational numbers that converge to ζ(3) contains a subsequence that satisfies an irrationality criterion of Brun.

Original language	English
Pages (from-to)	121-134
Number of pages	14
Journal	Expositiones Mathematicae
Volume	33
Issue number	1
Early online date	19 Apr 2014
DOIs	https://doi.org/10.1016/j.exmath.2014.04.001
Publication status	Published - 2015

Keywords

Irrationality
Zeta function

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title = "A useful application of Brun's irrationality criterion",

abstract = "We show that Ap{\'e}ry's sequence of rational numbers that converge to ζ(3) contains a subsequence that satisfies an irrationality criterion of Brun.",

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journal = "Expositiones Mathematicae",

issn = "0723-0869",

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AB - We show that Apéry's sequence of rational numbers that converge to ζ(3) contains a subsequence that satisfies an irrationality criterion of Brun.

KW - Irrationality

KW - Zeta function

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DO - 10.1016/j.exmath.2014.04.001

M3 - Article (Academic Journal)

SN - 0723-0869

VL - 33

SP - 121

EP - 134

JO - Expositiones Mathematicae

JF - Expositiones Mathematicae

IS - 1

ER -

A useful application of Brun's irrationality criterion

Abstract

Keywords

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