Study of the rational case of the theory of linear forms in logarithms
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Publication:2469143
DOI10.1016/j.jnt.2007.08.001zbMath1197.11085arXivmath/0410082OpenAlexW1653432445MaRDI QIDQ2469143
Publication date: 4 February 2008
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410082
Simultaneous homogeneous approximation, linear forms (11J13) Linear forms in logarithms; Baker's method (11J86) Approximation in non-Archimedean valuations (11J61)
Related Items (4)
Slopes of adelic vector bundles over global fields ⋮ Auxiliary functions in transcendental number theory ⋮ Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel ⋮ Elliptic Functions and Transcendence
Cites Work
- Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups)
- Linear forms in logarithms on commutative algebraic groups
- One-parametric \(p\)-adic subgroups of a group variety
- New zero lemmas in commutative algebraic groups
- Bases of number fields with small height
- Diophantine approximation on elliptic curves with complex multiplication.
- Algebraic leaves of algebraic foliations over number fields.
- Diophantine approximation of \(p\)-adic elliptic logarithms
- On heights of algebraic subspaces and diophantine approximations
- Measures of linear independence of logarithms on a commutative algebraic group
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- Logarithmic forms and group varieties.
- Formes linéaires de logarithmes effectives sur les variétés abéliennes
- ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL
- Linear forms on abelian varieties over local fields
- Néron Models
- A lower bound for linear forms in logarithms
- P-adic logarithmic forms and group varieties I
- p-adic logarithmic forms and group varieties II
- Interpolation sur des perturbations d’ensembles produits
- Minorations de formes linéaires de logarithmes elliptiques
- P-adic logarithmic forms and group varieties III
- Formal subgroups of abelian varieties
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