Let k be a number field and S a finite set of places of k containing the archimedean ones. We count the number of algebraic points of bounded height whose coordinates lie in the ring of S-integers of k. Moreover, we give an asymptotic formula for the number of S¯-integers of bounded height and fixed degree over k, where S¯ is the set of places of k¯ lying above the ones in S.

Algebraic S-integers of fixed degree and bounded height

BARROERO, Fabrizio
2015

Abstract

Let k be a number field and S a finite set of places of k containing the archimedean ones. We count the number of algebraic points of bounded height whose coordinates lie in the ring of S-integers of k. Moreover, we give an asymptotic formula for the number of S¯-integers of bounded height and fixed degree over k, where S¯ is the set of places of k¯ lying above the ones in S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/52698
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