Algebraic S-integers of fixed degree and bounded height
Acta Arithmetica (2015)
- Volume: 167, Issue: 1, page 67-90
- ISSN: 0065-1036
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topFabrizio Barroero. "Algebraic S-integers of fixed degree and bounded height." Acta Arithmetica 167.1 (2015): 67-90. <http://eudml.org/doc/286544>.
@article{FabrizioBarroero2015,
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 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.},
author = {Fabrizio Barroero},
journal = {Acta Arithmetica},
keywords = {heights; algebraic S-integers; counting},
language = {eng},
number = {1},
pages = {67-90},
title = {Algebraic S-integers of fixed degree and bounded height},
url = {http://eudml.org/doc/286544},
volume = {167},
year = {2015},
}
TY - JOUR
AU - Fabrizio Barroero
TI - Algebraic S-integers of fixed degree and bounded height
JO - Acta Arithmetica
PY - 2015
VL - 167
IS - 1
SP - 67
EP - 90
AB - 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.
LA - eng
KW - heights; algebraic S-integers; counting
UR - http://eudml.org/doc/286544
ER -
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