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A uniform relative Dobrowolski's lower bound over abelian extensions
Author(s) -
Amoroso Francesco,
Zannier Umberto
Publication year - 2010
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdq008
Subject(s) - mathematics , abelian group , upper and lower bounds , extension (predicate logic) , degree (music) , combinatorics , pure mathematics , abelian extension , mathematical analysis , physics , computer science , acoustics , programming language
Let L / K be an abelian extension of number fields. We prove a uniform lower bound for the height in L * outside roots of unity. This lower bound depends only on the degree [ L : K ].
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