Let V be a subvariety of a torus defined over the rational numbers. We study the distribution of points of small Well's height on V. We simplify the proof and we improve previous results by the first author and S. David. We obtain a totally explicit version of a generalized Dobrowolski result on the Lehmer problem.
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Univ Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, HungaryUniv Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, Hungary
Berczes, Attila
Gyory, Kalman
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Univ Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, HungaryUniv Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, Hungary
Gyory, Kalman
Evertse, Jan-Hendrik
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Leiden Univ, Inst Math, NL-2300 RA Leiden, NetherlandsUniv Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, Hungary
Evertse, Jan-Hendrik
Pontreau, Corentin
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Univ Caen, Lab Math Nicolas Oresme, CNRS, UMR 6139, F-14032 Caen, FranceUniv Debrecen, Inst Math, Number Theory Res Grp, Hungarian Acad Sci, H-4010 Debrecen, Hungary