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Polynomial relations amongst algebraic units of low measure

John Garza — 2014

Acta Arithmetica

For an algebraic number field and a subset α 1 , . . . , α r , we establish a lower bound for the average of the logarithmic heights that depends on the ideal of polynomials in [ x 1 , . . . , x r ] vanishing at the point ( α 1 , . . . , α r ) .

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