Multiple Legendre polynomials in diophantine approximation

DOI10.1142/S1793042114500584zbMath1315.11064MaRDI QIDQ3191223

Raffaele Marcovecchio

Publication date: 30 September 2014

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

zbMATH Keywords

irrationality measurehyperharmonic numberslinear recurrence equationmultiple Legendre polynomialsnonquadraticity measure

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Measures of irrationality and of transcendence (11J82) Homogeneous approximation to one number (11J04) Approximation by numbers from a fixed field (11J17)

Related Items (4)

Linear independence of dilogarithmic values ⋮ Approximating \(\pi\) by numbers in the field \(\mathbb{Q}(\sqrt{3})\) ⋮ Two integral transformations related to \(\zeta (2)\) ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion

Cites Work

• Unnamed Item
• Approximations to di- and tri-logarithms
• Hadamard products of rational formal power series
• The diagonal of a D-finite power series is D-finite
• On irrationality measures on the values of Gauss hypergeometric function
• The Rhin–Viola method for log 2
• 𝐂²-saddle method and Beukers’ integral
• More on Poincaré’s and Perron’s Theorems for Difference Equations∗
• IRRATIONALITY AND NONQUADRATICITY MEASURES FOR LOGARITHMS OF ALGEBRAIC NUMBERS

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