Linear forms in elliptic logarithms
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Publication:5901525
DOI10.1515/CRELLE.2009.018zbMath1169.11034OpenAlexW2038205969MaRDI QIDQ5901525
Sinnou David, Noriko Hirata-Kohno
Publication date: 8 April 2009
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/crelle.2009.018
algebraic groupsBaker's methodlinear independence measureformal logarithmElliptic logarithmslower bound for linear forms
Related Items (12)
Irrationality measures for cubic irrationals whose conjugates Lie on a curve ⋮ ON THE NUMBER OF ALGEBRAIC POINTS ON THE GRAPH OF THE WEIERSTRASS SIGMA FUNCTIONS ⋮ Six unlikely intersection problems in search of effectivity ⋮ There are at most finitely many singular moduli that are S-units ⋮ An effective result of André-Oort type ⋮ Valuations of Somos 4 sequences and canonical local heights on elliptic curves ⋮ Diophantine approximation ⋮ Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture ⋮ Mesures d’indépendance linéaire de logarithmes dans un groupe algébrique commutatif dans le cas rationnel ⋮ Arithmetic of characteristic p special L-values ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ On algebraic values of Weierstrass \(\sigma \)-functions
Cites Work
- Formes linéaires de logarithmes de points algébriques sur les groupes algébriques. (Linear forms in logarithms of algebraic points on algebraic groups)
- Quelques résultats de transcendance liés à l'invariant modulaire j. (Some transcendence results related to the modular invariant j)
- Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
- Diophantine approximation on Abelian varieties with complex multiplication
- Linear forms in two logarithms and Schneider's method
- Measures of simultaneous approximation for quasi-periods of Abelian varieties
- Periods and minimal abelian subvarieties
- Arithmetische Untersuchungen elliptischer Integrale
- Linear forms in algebraic points of Abelian functions. I
- Linear Forms in Algebraic Points of Abelian Functions III
- Diophantine Approximations on Toruses
- Linear forms in elliptic logarithms
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