Linear independence of harmonic numbers over the field of algebraic numbers. II

DOI10.1007/s11139-019-00183-8zbMath1446.11138OpenAlexW2963632866MaRDI QIDQ780444

Sonika Dhillon, Tapas Chatterjee

Publication date: 15 July 2020

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-019-00183-8

zbMATH Keywords

primitive rootsGalois theorydigamma functionharmonic numbersGauss formulaBaker's theorylinear forms in logarithm

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86)

Related Items (2)

On a conjecture of Murty-Saradha about digamma values ⋮ A note on a variant of a conjecture of Rohrlich

Cites Work

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• Euler-Lehmer constants and a conjecture of Erdős
• Non-vanishing of Dirichlet series with periodic coefficients
• Transcendental values of the digamma function
• Erdősian functions and an identity of Gauss
• Linear independence of harmonic numbers over the field of algebraic numbers
• On relations between cyclotomic units
• A vanishing criterion for Dirichlet series with periodic coefficients
• Linear Independence of Logarithms of Cyclotomic Numbers and a Conjecture of Livingston
• The digamma function, Euler–Lehmer constants and their p-adic counterparts

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