{"id":"W2807402373","doi":"10.4171/dms/8/10","title":"Mahler’s work on Diophantine equations and subsequent developments","year":2019,"lang":"en","type":"book-chapter","venue":"Documenta mathematica series","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Diophantine equation; Mathematics; Diophantine approximation; Diophantine geometry; Diophantine set; Elliptic curve; Rational number; Thue equation; Generalization; Pure mathematics; Discrete mathematics; Algebra over a field; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001455654,0.0008875233,0.0008125962,0.002962398,0.001891677,0.002893408,0.001022424,0.001620036,0.007294027],"category_scores_gemma":[0.004884641,0.0005053055,0.0009794226,0.002200779,0.004720311,0.005787922,0.001889083,0.005346922,0.002307927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.007120565,"about_ca_system_score_gemma":0.00138566,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004600512,"about_ca_topic_score_gemma":0.002742853,"domain_scores_codex":[0.9984547,0.0003861362,0.00009623549,0.0003810312,0.0005347391,0.0001470448],"domain_scores_gemma":[0.9979693,0.001249832,0.00009483825,0.0001655645,0.0004195245,0.0001009077],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000007494037,0.00000862157,0.00004077324,0.00006253371,0.000004085698,0.00002910205,0.0002478812,0.0001876683,0.000113063,0.9892645,0.003986159,0.006048042],"study_design_scores_gemma":[0.00001125109,0.00002369058,0.0002891845,0.0001516228,0.00001073516,0.0001587867,0.0001063419,0.001096551,0.0006187592,0.7760152,0.2214904,0.00002764208],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"review","genre_scores_codex":[0.0271293,0.1532633,0.04938403,0.0339886,0.008829869,0.00004074471,0.0006265547,0.0001641918,0.7265734],"genre_scores_gemma":[0.5258426,0.1237371,0.05146915,0.01180763,0.02010224,0.0001809519,0.0005179471,0.0003024083,0.26604],"genre_candidate":"review","genre_consensus":null,"teacher_disagreement_score":0.007294027,"threshold_uncertainty_score":0.05166358,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04251567239520819,"score_gpt":0.2812968321591198,"score_spread":0.2387811597639116,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}