{"id":"W3196141015","doi":"10.4064/aa220705-24-1","title":"Moments of traces of Frobenius of higher order Dirichlet $L$-functions over $\\mathbb F_q[T]$","year":2023,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Dirichlet distribution; Normalization (sociology); Order (exchange); Combinatorics; Dirichlet series; Limit (mathematics); Pure mathematics; 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":[0.001920947,0.001325962,0.001131166,0.004044077,0.001505935,0.003366776,0.002500188,0.001364481,0.007998854],"category_scores_gemma":[0.009707312,0.000574987,0.001267823,0.001405372,0.004626825,0.005684699,0.002458198,0.002959138,0.001419608],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002138767,"about_ca_system_score_gemma":0.0008255057,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001462793,"about_ca_topic_score_gemma":0.001086945,"domain_scores_codex":[0.9990312,0.0002530627,0.0000405928,0.0001376528,0.0002331843,0.0003043174],"domain_scores_gemma":[0.9963445,0.001340437,0.0005780993,0.0003686622,0.0004702519,0.0008980449],"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":[0.000128034,0.00005786833,0.0008253991,0.000105271,0.00002562317,0.0004368206,0.0005837801,0.005164285,0.005753818,0.980492,0.0008976145,0.005529626],"study_design_scores_gemma":[0.00003922337,0.00009180912,0.001869832,0.0001215906,0.00003214948,0.0008542963,0.0002545173,0.1128679,0.007433012,0.8740062,0.002302743,0.0001268056],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7233598,0.001708584,0.2176318,0.001974802,0.0004795958,0.00006483802,0.0002511276,0.0009188132,0.05361065],"genre_scores_gemma":[0.9766837,0.000639513,0.008378359,0.0001841165,0.0005033559,0.0000633566,0.0001452711,0.000406863,0.01299551],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007998854,"threshold_uncertainty_score":0.02675885,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06041616458070152,"score_gpt":0.370809717604466,"score_spread":0.3103935530237644,"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."}}