{"id":"W2097685234","doi":"10.1112/s0010437x12000735","title":"Logarithmic derivatives of Artin -functions","year":2013,"lang":"en","type":"article","venue":"Compositio Mathematica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Logarithm; Conjecture; Algebraic number field; Discriminant; Combinatorics; Zero (linguistics); Riemann hypothesis; Field (mathematics); Pure mathematics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003586587,0.0001632178,0.0003866145,0.0001323234,0.0001077176,0.00004268316,0.0003102209,0.00006359307,0.00472216],"category_scores_gemma":[0.0004259177,0.00013696,0.0001283368,0.0002563286,0.0002892399,0.0001625139,0.0001302835,0.0001645371,0.001473212],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004446785,"about_ca_system_score_gemma":0.000038064,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000104353,"about_ca_topic_score_gemma":0.000001228414,"domain_scores_codex":[0.9985268,0.0001261864,0.0005128887,0.0001954781,0.0003450781,0.0002935684],"domain_scores_gemma":[0.9976546,0.001240847,0.0001813135,0.0005576641,0.0002532431,0.0001123598],"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":[0.0000196796,0.00102367,0.0004830753,0.0008125281,0.0002868618,0.000005977676,0.002116636,0.000004512826,0.0441821,0.9256768,0.02450964,0.0008785237],"study_design_scores_gemma":[0.0003080082,0.00007913454,0.0004819404,0.0001744533,0.00005588701,0.00003640796,0.0007558233,0.002878207,0.01159674,0.983346,0.0001125889,0.0001747595],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7361926,0.00003012754,0.1633551,0.000909898,0.0000512607,0.0009173405,0.00001229504,0.0001748033,0.0983565],"genre_scores_gemma":[0.9428153,0.000001705026,0.05146661,0.00002962746,0.00003953274,0.000122088,0.000005105342,0.00003603852,0.005483964],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2066227,"threshold_uncertainty_score":0.9993042,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05523748059276888,"score_gpt":0.3342120581463984,"score_spread":0.2789745775536295,"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."}}