Transcendence of the log gamma function and some discrete periods
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Publication:1026882
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
transcendenceGamma functionSchanuel's conjectureBaker's Theorem on linear independence of logarithms of algebraic numbersNesterenko's Theorem
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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