Quadratic relations between logarithms of algebraic numbers

DOI10.3792/pjaa.71.151zbMath0860.11040OpenAlexW2011193232MaRDI QIDQ1917567

Michel Waldschmidt, Damien Roy

Publication date: 24 April 1997

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.151

zbMATH Keywords

zero estimatestranscendence degreelogarithms of algebraic numbersinterpolation determinantsBrownawll-Waldschmidt theoremfour exponents conjecturetranscendental approximation

Mathematics Subject Classification ID

Algebraic independence; Gel'fond's method (11J85) Transcendence (general theory) (11J81)

Related Items (5)

The four exponentials conjecture and D. Bertrand's conjecture on the modular function ⋮ The Four Exponentials Problem and Schanuel’s Conjecture ⋮ Approximation diophantienne et indépendance algébrique de logarithmes ⋮ Approximation by algebraic numbers ⋮ Criteria of algebraic independence with multiplicities and interpolation determinants

Cites Work

• The algebraic independence of certain numbers related by the exponential function
• Solution du huitieme problème de Schneider
• Approximation mit algebraischen Zahlen beschränkten Grades.
• Lemmes de zéros dans les groupes algébriques commutatifs
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