%0 Journal Article
%T Thue equations and CM-fields
%+ Institut de Mathématiques de Marseille (I2M)
%+ Institut de Mathématiques de Toulon - EA 2134 (IMATH)
%+ Department of Mathematics
%A Aubry, Yves
%A Poulakis, Dimitrios
%< avec comité de lecture
%@ 1382-4090
%J Ramanujan Journal
%I Springer Verlag
%V 42
%N 1
%P 145 - 156
%8 2017-01
%D 2017
%Z 1407.6556
%R 10.1007/s11139-015-9749-x
%K CM-fields
%K Thue equations
%K integral solutions
%Z 11D59, 11Y16, 11G30, 11G50
%Z Mathematics [math]/Number Theory [math.NT]Journal articles
%X We obtain a polynomial type upper bound for the size of the integral solutions of Thue equations $F(X,Y) = b$ defined over a totally real number field $K$,assuming that $F(X,1)$ has a root $\alpha$ such that $K(\alpha)$ is a CM-field.Furthermore, we give an algorithm for the computation of the integral solutions of such an equation.
%G English
%2 https://hal.science/hal-01044876v5/document
%2 https://hal.science/hal-01044876v5/file/Aubry_Poulakis_v5.pdf
%L hal-01044876
%U https://hal.science/hal-01044876
%~ UNIV-TLN
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ IMATH