Polynomial relations amongst algebraic units of low measure
John Garza
Acta Arithmetica, Tome 166 (2014), p. 25-30 / Harvested from The Polish Digital Mathematics Library
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For an algebraic number field and a subset α1,...,αr⊆, we establish a lower bound for the average of the logarithmic heights that depends on the ideal of polynomials in ℚ[x1,...,xr] vanishing at the point (α1,...,αr).

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279183 
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     author = {John Garza},
     title = {Polynomial relations amongst algebraic units of low measure},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {25-30},
     zbl = {1326.11065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-1-2}
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John Garza. Polynomial relations amongst algebraic units of low measure. Acta Arithmetica, Tome 166 (2014) pp. 25-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-1-2/