Matrices whose coefficients are linear forms in logarithms

DOI10.1016/0022-314X(92)90081-YzbMath0763.11030WikidataQ30040345 ScholiaQ30040345MaRDI QIDQ1187811

Damien Roy

Publication date: 23 July 1992

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

zbMATH Keywords

Leopoldt conjecturelinear forms in logarithms of algebraic numbers\(p\)-adic rank of \(S\)-unitsJaulent conjecturelogarithms of non-zero algebraic numberslower bound for the rank of a matrix

Mathematics Subject Classification ID

Units and factorization (11R27) Transcendence (general theory) (11J81)

Related Items

Nearly ordinary Galois deformations over arbitrary number fields, Points whose coordinates are logarithms of algebraic numbers on algebraic varieties, Dependence of logarithms on commutative algebraic groups, The four exponentials conjecture and D. Bertrand's conjecture on the modular function, Densité des points rationnels sur un groupe algébrique, The Four Exponentials Problem and Schanuel’s Conjecture, On the rank of Leopoldt's and Gross's regulator maps, Products and quotients of linear forms of logarithms of algebraic numbers: conjectures and partial results, Geometry of the eigencurve at CM points and trivial zeros of Katz \(p\)-adic \(L\)-functions, Approximation diophantienne et indépendance algébrique de logarithmes

Cites Work

• Sur l'indépendance \(\ell\)-adique de nombres algébriques. (On \(\ell\)- adic independence of algebraic numbers)
• Transcendance et exponentielles en plusieurs variables
• Sur les ideaux dont l'image par l'application d'Artin dans une -extension est trivale.
• Rang p-adique d'unités et action de groupes.
• On the units of algebraic number fields
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