{"paper":{"title":"Thue equations and CM-fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dimitrios Poulakis, I2M), Yves Aubry (IMATH","submitted_at":"2014-07-24T12:55:48Z","abstract_excerpt":"We obtain a polynomial type upper bound for the size of the integral solutions of\n  Thue equations $F(X,Y) = b$ defined over a totally real number field $K$,\nassuming  that  $F(X,1)$ has  a  root  $\\alpha$ such that\n  $K(\\alpha)$ is a CM-field.\nFurthermore, we give an algorithm for the computation of the integral solutions of  such an equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6556","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}