Erdősian functions and an identity of Gauss

DOI10.3792/pjaa.95.58zbMath1472.11239OpenAlexW2947133562MaRDI QIDQ2010766

Suraj Singh Khurana, Tapas Chatterjee

Publication date: 27 November 2019

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1559268171

zbMATH Keywords

Dirichlet seriesdigamma functionErdős conjectureGauss identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Hurwitz and Lerch zeta functions (11M35) Other special functions (33E99)

Related Items (3)

On a conjecture of Murty-Saradha about digamma values ⋮ Linear independence of harmonic numbers over the field of algebraic numbers ⋮ Linear independence of harmonic numbers over the field of algebraic numbers. II

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
• On a conjecture of Erdős and certain Dirichlet series
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• Euler’s constant: Euler’s work and modern developments
• Euler constants for arithmetic progressions
• The Series Σ^∞₁ f(n)/n for Periodic f

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