Transcendence of multi-indexed infinite series

DOI10.1016/j.jnt.2010.11.003zbMath1241.11084OpenAlexW2002790740MaRDI QIDQ627630

Chester Weatherby

Publication date: 3 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.11.003

zbMATH Keywords

digamma functionSchanuel's conjecturegeneralized Euler constantstranscendence of infinite series

Mathematics Subject Classification ID

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

Related Items (3)

On some power series with algebraic coefficients and Liouville numbers ⋮ Transcendence of some power series for Liouville number arguments ⋮ OKADA'S THEOREM AND MULTIPLE DIRICHLET SERIES

Cites Work

• Euler-Lehmer constants and a conjecture of Erdős
• Transcendental values of the digamma function
• The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
• On a problem of Chowla
• Euler constants for arithmetic progressions
• Transcendence of infinite sums of simple functions
• Transcendental infinite sums
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