Algebraic S-integers of fixed degree and bounded height

• Autorzy: Fabrizio Barroero
• Języki publikacji: EN

Abstrakty

EN

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 S̅-integers of bounded height and fixed degree over k, where S̅ is the set of places of k̅ lying above the ones in S.

Kategorie tematyczne

• 11R04: Algebraic numbers; rings of algebraic integers
• 11G50: Heights

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 167
• Numer: 1
• Strony: 67-90

Daty

wydano

2015

Twórcy

autor

Fabrizio Barroero

• Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

Identyfikatory

DOI

10.4064/aa167-1-4