Uniformly counting rational points on conics
Acta Arithmetica (2014)
- Volume: 166, Issue: 1, page 1-13
- ISSN: 0065-1036
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topEfthymios Sofos. "Uniformly counting rational points on conics." Acta Arithmetica 166.1 (2014): 1-13. <http://eudml.org/doc/279268>.
@article{EfthymiosSofos2014,
abstract = {We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.},
author = {Efthymios Sofos},
journal = {Acta Arithmetica},
keywords = {Conic; rational points; Manin's conjecture; height; uniform; explicit; quadric; parameterization; norm; error term},
language = {eng},
number = {1},
pages = {1-13},
title = {Uniformly counting rational points on conics},
url = {http://eudml.org/doc/279268},
volume = {166},
year = {2014},
}
TY - JOUR
AU - Efthymios Sofos
TI - Uniformly counting rational points on conics
JO - Acta Arithmetica
PY - 2014
VL - 166
IS - 1
SP - 1
EP - 13
AB - We provide an asymptotic estimate for the number of rational points of bounded height on a non-singular conic over ℚ. The estimate is uniform in the coefficients of the underlying quadratic form.
LA - eng
KW - Conic; rational points; Manin's conjecture; height; uniform; explicit; quadric; parameterization; norm; error term
UR - http://eudml.org/doc/279268
ER -
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