SPECIAL VALUES OF THE POLYGAMMA FUNCTIONS
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Publication:3626319
DOI10.1142/S1793042109002079zbMath1189.11039OpenAlexW2100898148MaRDI QIDQ3626319
Publication date: 22 May 2009
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042109002079
Transcendence theory of other special functions (11J91) Transcendence (general theory) (11J81) Linear forms in logarithms; Baker's method (11J86) Higher logarithm functions (33B30)
Related Items (17)
Transcendence of Hurwitz zeta type series and related questions ⋮ Two parameterized series representations for the digamma function ⋮ THE STRONG CHOWLA–MILNOR SPACES AND A CONJECTURE OF GUN, MURTY AND RATH ⋮ On values of Dedekind zeta function ⋮ A problem of Chowla revisited ⋮ Euler-Lehmer constants and a conjecture of Erdős ⋮ Special values of the gamma function at CM points ⋮ An elliptic analogue of a theorem of Hecke ⋮ A note on values of the Dedekind zeta-function at odd positive integers ⋮ Analytic number theory in India during 2001-2010 ⋮ Distribution and non-vanishing of special values of L-series attached to Erdős functions ⋮ Linear independence of digamma function and a variant of a conjecture of Rohrlich ⋮ OKADA'S THEOREM AND MULTIPLE DIRICHLET SERIES ⋮ Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions ⋮ 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
- Transcendental values of the digamma function
- Two remarks on transcendental numbers
- The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation
- On a problem of Chowla
- The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
- Transcendental infinite sums
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