Transcendence of the log gamma function and some discrete periods

DOI10.1016/j.jnt.2009.01.008zbMath1175.11039OpenAlexW2041101352MaRDI QIDQ1026882

M. Ram Murty, Sanoli Gun, Purusottam Rath

Publication date: 6 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.008

zbMATH Keywords

transcendenceGamma functionSchanuel's conjectureBaker's Theorem on linear independence of logarithms of algebraic numbersNesterenko's Theorem

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 (6)

Linear and algebraic independence of generalized Euler-briggs constants ⋮ TRANSCENDENTAL SUMS RELATED TO THE ZEROS OF ZETA FUNCTIONS ⋮ A note on a variant of a conjecture of Rohrlich ⋮ Transcendence of special values of log double sine function ⋮ Algebraic independence of certain numbers related to modular functions ⋮ Linear independence of digamma function and a variant of a conjecture of Rohrlich

Cites Work

• Transcendental values of the digamma function
• Two remarks on transcendental numbers
• Measures of simultaneous approximation for quasi-periods of Abelian varieties
• Transcendental Nature of Special Values of L-Functions
• On an extension of a theorem of S. Chowla
• Modular functions and transcendence questions
• Transcendental infinite sums
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