{"id":"W3119549973","doi":"","title":"ON FIXED DIVISORS OF THE MINIMAL POLYNOMIALS OVER Z OF ALGEBRAIC NUMBERS","year":2022,"lang":"fr","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Rings, Modules, and Algebras","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Mathematics; Combinatorics; Prime factor; Greatest common divisor; Degree (music); Integer (computer science); Coprime integers; Prime (order theory); Algebraic number; Field (mathematics); Discrete mathematics; Physics; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00669759,0.0005436097,0.0009627493,0.0002109875,0.0004617522,0.0001157169,0.002716103,0.0003476022,0.003244197],"category_scores_gemma":[0.005051869,0.000507743,0.0008532422,0.0005897667,0.0008852601,0.0001114025,0.002882156,0.001025248,0.00003550101],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002486114,"about_ca_system_score_gemma":0.0004704718,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00253285,"about_ca_topic_score_gemma":0.001100007,"domain_scores_codex":[0.9879379,0.008164461,0.001459868,0.000857026,0.001070078,0.0005106358],"domain_scores_gemma":[0.9864834,0.006140797,0.002286882,0.003940864,0.0009807814,0.0001672918],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.00006608074,0.00232699,0.00744465,0.0009427164,0.00036793,0.000002480128,0.02303849,0.0001803294,0.006747745,0.9463508,0.005767903,0.006763905],"study_design_scores_gemma":[0.004389259,0.00001081562,0.1214718,0.01536363,0.0009822346,0.0000278203,0.002680626,0.005985447,0.5374665,0.2571527,0.05198832,0.002480894],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9370243,0.0007386655,0.001929257,0.00564758,0.0008481834,0.000886636,0.0003367848,0.00007087112,0.05251773],"genre_scores_gemma":[0.9522056,0.0003466723,0.009754027,0.0001184522,0.00003689885,0.00007643248,0.0001212393,0.0001031914,0.03723747],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6891981,"threshold_uncertainty_score":0.9997374,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02009743893757057,"score_gpt":0.2469246263708667,"score_spread":0.2268271874332961,"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."}}