𝐂²-saddle method and Beukers’ integral

DOI10.1090/S0002-9947-00-02432-6zbMath0996.11048OpenAlexW1513964536MaRDI QIDQ4501117

Masayoshi Hata

Publication date: 3 September 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02432-6

zbMATH Keywords

simultaneous approximationnon-quadraticity measuresaddle methodBeukers' double integralsaddles of rational functions

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82)

Related Items (12)

Multiple Legendre polynomials in diophantine approximation ⋮ On the quadratic exponent of irrationality of \(\ln 2\) ⋮ Approximating $\ln 2$ by numbers in the field $ {\mathbb{Q}}(\sqrt{2}\,)$ ⋮ Unnamed Item ⋮ Linear independence of 1, \(\operatorname{Li}_1\) and \(\operatorname{Li}_2\) ⋮ Linear independence of dilogarithmic values ⋮ Approximating \(\pi\) by numbers in the field \(\mathbb{Q}(\sqrt{3})\) ⋮ IRRATIONALITY AND NONQUADRATICITY MEASURES FOR LOGARITHMS OF ALGEBRAIC NUMBERS ⋮ Unnamed Item ⋮ On the irrationality measures of certain numbers. II ⋮ Vectors of type II Hermite-Padé approximations and a new linear independence criterion ⋮ Quadratic irrationality exponents of certain numbers

Cites Work

• Legendre type polynomials and irrationality measures.
• A PL homotopy continuation method with the use of an odd map for the artificial level
• A Note on the Irrationality of ζ(2) and ζ(3)
• Rational Approximations to the Dilogarithm
• Rational approximations to π and some other numbers
• On a permutation group related to ζ(2)
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• Unnamed Item
• Unnamed Item

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