IRRATIONALITY OF \gamma, \zeta(m) AND \beta(m)

DOI10.17654/JPANTAAug2015_041_052zbMath1499.11242MaRDI QIDQ5075081

Claude Gauthier

Publication date: 10 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

irrationalityEuler's constantRiemann's zeta functionCatalan's constantDirichlet's beta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Irrationality; linear independence over a field (11J72)

Cites Work

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• Diophantine properties of numbers related to Catalan's constant
• On the periodicity of trigonometric functions generalized to quotient rings of \(\mathbb{R}[x\)]
• Euler’s constant: Euler’s work and modern developments
• ON EXPANSIONS OF REAL NUMBERS INTO INVERSE FACTORIALS AND FIELDS INDUCED BY RELATED METRICS
• Euler and the Zeta Function
• La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs

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