Multiplicative independence of algebraic numbers and expressions

DOI10.1016/S0022-4049(00)00156-0zbMath1003.12003MaRDI QIDQ5951567

Daniel Richardson

Publication date: 16 January 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

decidabilitymultiplicative independenceSchanuel conjectureuniformity conjecture

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Transcendental field extensions (12F20) Approximation in non-Archimedean valuations (11J61)

Related Items

Expansion in perfect groups. ⋮ Use of algebraically independent numbers for zero recognition of polynomial terms. ⋮ Multiplicative dependence of the translations of algebraic numbers ⋮ What can we do with a Solution? ⋮ Counterexamples to the uniformity conjecture

Cites Work

• How to recognize zero?
• Computing in the field of complex algebraic numbers
• Sharp estimates for the arithmetic Nullstellensatz
• What is a Closed-Form Number?
• An exact real algebraic arithmetic with equality determination
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