IRRATIONALITY AND NONQUADRATICITY MEASURES FOR LOGARITHMS OF ALGEBRAIC NUMBERS

DOI10.1017/S1446788712000274zbMath1271.11076MaRDI QIDQ4899951

Carlo Viola, Raffaele Marcovecchio

Publication date: 10 January 2013

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

zbMATH Keywords

irrationality measuresaddle point methodWeil heightnonquadraticity measure

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72) Approximation by numbers from a fixed field (11J17)

Related Items (3)

Multiple Legendre polynomials in diophantine approximation ⋮ Logarithms of algebraic numbers ⋮ On the interplay between hypergeometric series, Fourier-Legendre expansions and Euler sums

Cites Work

• The group structure for ζ(3)
• The Rhin–Viola method for log 2
• 𝐂²-saddle method and Beukers’ integral

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