Counting algebraic integers of fixed degree and bounded height

2013/05/31 by Fabrizio Barroero · 1 citation
Mathematics · #math.NT

paper · pdf · doi:10.1007/s00605-013-0599-6

arxiv created 2013/11/12 · arxiv updated 2014/09/12

Abstract

Let k be a number field. For H→ ∞, we give an asymptotic formula for the number of algebraic integers of absolute Weil height bounded by H and fixed degree over k.

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• Algebraic S-integers of fixed degree and bounded height