{"id":"W3117168712","doi":"10.1007/s00222-023-01232-2","title":"An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin $L$-functions","year":2023,"lang":"en","type":"article","venue":"Inventiones mathematicae","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Conjecture; Galois group; Combinatorics; Algebraic number field; Finite field; Artin L-function; Group (periodic table); Discriminant; Prime (order theory); Artin group; Riemann hypothesis; Field (mathematics); Pure mathematics; Conductor; Geometry; Coxeter group","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":[],"consensus_categories":[],"category_scores_codex":[0.001222773,0.0001879152,0.000479831,0.0002263917,0.0001243182,0.00002380743,0.0001723418,0.0001215237,0.0002569845],"category_scores_gemma":[0.0004829718,0.0001646286,0.0001455648,0.0005493547,0.0002138135,0.0002530486,0.00008817114,0.0001400546,0.00006163215],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001105218,"about_ca_system_score_gemma":0.00002234104,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005596095,"about_ca_topic_score_gemma":0.000005299593,"domain_scores_codex":[0.9984242,0.00007744721,0.0007235049,0.0002328511,0.0002875569,0.0002544512],"domain_scores_gemma":[0.9983126,0.000511338,0.000486167,0.0004918624,0.0001036683,0.0000943516],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00007024963,0.001035549,0.003368034,0.00538967,0.0002956182,0.00001220035,0.01260088,0.00001317973,0.02909235,0.9440281,0.00297556,0.001118564],"study_design_scores_gemma":[0.0004657302,0.0001390934,0.001574015,0.0003109503,0.0001261477,0.00003127465,0.003252803,0.00193545,0.01754491,0.9744049,0.00003971217,0.0001750155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9722822,0.0000244497,0.02508542,0.0001245733,0.00009893748,0.0003593272,0.00004403355,0.0001584484,0.001822639],"genre_scores_gemma":[0.9897422,0.00000611028,0.009424077,0.00001237779,0.00003818539,0.0000465358,0.00003008341,0.00003608972,0.0006643088],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03037675,"threshold_uncertainty_score":0.6713358,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03771608843400537,"score_gpt":0.3042792093264359,"score_spread":0.2665631208924306,"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."}}