Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593119 | Journal of Number Theory | 2017 | 39 Pages |
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
Authors
Quentin Guignard,