Article ID Journal Published Year Pages File Type
4593119 Journal of Number Theory 2017 39 Pages PDF
Abstract

We prove new estimates on the number of algebraic points of fixed degree and bounded height on projective spaces over a given number field. These results extend previous works of Wolfgang Schmidt [13], Gao Xia [3] and Martin Widmer [18]. Our approach, based on zeta functions, also gives a new proof of Schanuel's theorem.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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