Number of solutions of cubic Thue inequalities with positive discriminant

N. Saradha, and Divyum Sharma. "Number of solutions of cubic Thue inequalities with positive discriminant." Acta Arithmetica 171.1 (2015): 81-95. <http://eudml.org/doc/279086>.

@article{N2015,
abstract = {Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying $k < ((3D)^\{1/4\})/2π$. We give improved upper bounds for the number of primitive solutions of the Thue inequality $|F(X,Y)| ≤ k$.},
author = {N. Saradha, Divyum Sharma},
journal = {Acta Arithmetica},
keywords = {thue inequalities; binary cubic forms},
language = {eng},
number = {1},
pages = {81-95},
title = {Number of solutions of cubic Thue inequalities with positive discriminant},
url = {http://eudml.org/doc/279086},
volume = {171},
year = {2015},
}

TY - JOUR
AU - N. Saradha
AU - Divyum Sharma
TI - Number of solutions of cubic Thue inequalities with positive discriminant
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 1
SP - 81
EP - 95
AB - Let F(X,Y) be an irreducible binary cubic form with integer coefficients and positive discriminant D. Let k be a positive integer satisfying $k < ((3D)^{1/4})/2π$. We give improved upper bounds for the number of primitive solutions of the Thue inequality $|F(X,Y)| ≤ k$.
LA - eng
KW - thue inequalities; binary cubic forms
UR - http://eudml.org/doc/279086
ER -