A problem of Chowla revisited

DOI10.1016/j.jnt.2011.04.003zbMath1241.11083OpenAlexW2070630517MaRDI QIDQ548059

M. Ram Murty, V. Kumar Murty

Publication date: 27 June 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.04.003

zbMATH Keywords

application of Baker's methodChowla's problemspecial values of Dirichlet \(L\)-series

Mathematics Subject Classification ID

Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86)

Related Items (12)

Linear and algebraic independence of generalized Euler-briggs constants ⋮ On special values of Dirichlet series with periodic coefficients ⋮ A short note on generalized Euler–Briggs constants ⋮ ON A QUESTION OF ALAN BAKER OVER ARBITRARY NUMBER FIELDS ⋮ LARGE BIAS FOR INTEGERS WITH PRIME FACTORS IN ARITHMETIC PROGRESSIONS ⋮ Non-vanishing of Dirichlet series with periodic coefficients ⋮ Transcendence of generalized Euler-Lehmer constants ⋮ Linear independence of harmonic numbers over the field of algebraic numbers ⋮ On the non-vanishing of certain Dirichlet series ⋮ Transcendental values of class group $L$-functions, II ⋮ On linear independence of Dirichlet \(L\) values ⋮ On an extension of a question of Baker

Cites Work

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• Euler-Lehmer constants and a conjecture of Erdős
• Transcendental values of the digamma function
• Some applications of Kronecker's limit formulas
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• On a problem of Chowla
• SPECIAL VALUES OF THE POLYGAMMA FUNCTIONS
• On the units of cyclotomic fields
• Non-vanishing of \(L\)-functions and applications

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