Linear independence of digamma function and a variant of a conjecture of Rohrlich

DOI10.1016/j.jnt.2009.02.007zbMath1175.11038OpenAlexW2022896654WikidataQ123345691 ScholiaQ123345691MaRDI QIDQ1025892

M. Ram Murty, Purusottam Rath, Sanoli Gun

Publication date: 23 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.02.007

zbMATH Keywords

\(L\)-functionsGamma functiondigamma functionSchanuel's conjectureRohrlich conjecture

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 (5)

Explicit and asymptotic formulae for Vasyunin-cotangent sums ⋮ On a conjecture of Murty-Saradha about digamma values ⋮ A note on a variant of a conjecture of Rohrlich ⋮ On quotients of derivatives of \(L\)-functions inside the critical strip ⋮ Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions

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