Rational points of Euler's Gamma function

DOI10.1007/s00013-014-0661-1zbMath1303.11079arXiv1212.4738OpenAlexW2145800962MaRDI QIDQ403037

Etienne Besson

Publication date: 29 August 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4738

zbMATH Keywords

zero estimatesrational pointsEuler gamma function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Irrationality; linear independence over a field (11J72)

Related Items (8)

Rational values of transcendental functions and arithmetic dynamics ⋮ ALGEBRAIC VALUES OF CERTAIN ANALYTIC FUNCTIONS DEFINED BY A CANONICAL PRODUCT ⋮ Algebraic Values of Entire Functions with Extremal Growth Orders: An Extension of a Theorem of Boxall and Jones ⋮ Zeroes and rational points of analytic functions ⋮ Rational Values of Weierstrass Zeta Functions ⋮ Nevanlinna theory and algebraic values of certain meromorphic functions ⋮ Counting rational points and lower bounds for Galois orbits ⋮ Zero Counting and Invariant Sets of Differential Equations

Cites Work

• The density of rational points on a Pfaff curve
• Rational values of the Riemann zeta function
• The number of integral points on arcs and ovals
• Valeurs algebriques de fonctions transcendantes
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