Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms)

DOI10.1016/0022-314X(86)90036-3zbMath0596.10033MaRDI QIDQ1078236

Philippe Toffin, Georges Rhin

Publication date: 1986

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

zbMATH Keywords

explicit lower boundslinear forms in logarithmssimultaneous Padé approximations

Mathematics Subject Classification ID

Transcendence (general theory) (11J81)

Related Items (14)

Linear Forms in Polylogarithms ⋮ On the linear independence measure of logarithms of rational numbers ⋮ Linear independence criteria for generalized polylogarithms with distinct shifts ⋮ Unnamed Item ⋮ Симметризованные многочлены в задаче оценки меры иррациональности числа ln31 ⋮ Can polylogarithms at algebraic points be linearly independent? ⋮ Unnamed Item ⋮ Convergents and irrationality measures of logarithms ⋮ Type II Hermite-Padé approximations of generalized hypergeometric series ⋮ Explicit lower bounds for linear forms ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Approximation of certain numbers by elements of a given number field ⋮ An estimate for a linear form in algebraic numbers ⋮ A p-adic lower bound for a linear form in logarithms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational approximations of some functions at rational points
• Approximate formulas for some functions of prime numbers
• Legendre polynomials in irrationality proofs
• Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x)
• A lower bound for linear forms in logarithms

This page was built for publication: Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms)