On the number of rational points of Jacobians over finite fields

Philippe Lebacque, and Alexey Zykin. "On the number of rational points of Jacobians over finite fields." Acta Arithmetica 169.4 (2015): 373-384. <http://eudml.org/doc/279463>.

@article{PhilippeLebacque2015,
abstract = {We prove lower and upper bounds for the class numbers of algebraic curves defined over finite fields. These bounds turn out to be better than most of the previously known bounds obtained using combinatorics. The methods used in the proof are essentially those from the explicit asymptotic theory of global fields. We thus provide a concrete application of effective results from the asymptotic theory of global fields and their zeta functions.},
author = {Philippe Lebacque, Alexey Zykin},
journal = {Acta Arithmetica},
keywords = {class number; Jacobians over finite fields; explicit formulae},
language = {eng},
number = {4},
pages = {373-384},
title = {On the number of rational points of Jacobians over finite fields},
url = {http://eudml.org/doc/279463},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Philippe Lebacque
AU - Alexey Zykin
TI - On the number of rational points of Jacobians over finite fields
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 4
SP - 373
EP - 384
AB - We prove lower and upper bounds for the class numbers of algebraic curves defined over finite fields. These bounds turn out to be better than most of the previously known bounds obtained using combinatorics. The methods used in the proof are essentially those from the explicit asymptotic theory of global fields. We thus provide a concrete application of effective results from the asymptotic theory of global fields and their zeta functions.
LA - eng
KW - class number; Jacobians over finite fields; explicit formulae
UR - http://eudml.org/doc/279463
ER -