{"id":"W2233031612","doi":"10.1142/s1793042117500014","title":"Central limit theorem for Artin L-functions","year":2016,"lang":"en","type":"preprint","venue":"International Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Central limit theorem; Congruence (geometry); Limit (mathematics); Gaussian; Infinity; Character (mathematics); Pure mathematics; Combinatorics; Mathematical analysis; Physics; Geometry; Quantum mechanics; Statistics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005160477,0.0011446,0.00183066,0.004553333,0.002917868,0.004421849,0.003170937,0.001519285,0.00668683],"category_scores_gemma":[0.01802409,0.0005273127,0.00193311,0.001858772,0.00783949,0.008916632,0.005373493,0.00348809,0.000939845],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003024364,"about_ca_system_score_gemma":0.001462871,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001112116,"about_ca_topic_score_gemma":0.0006742766,"domain_scores_codex":[0.997865,0.0005348579,0.00008424256,0.0004465931,0.0006602139,0.0004091099],"domain_scores_gemma":[0.9920558,0.003712143,0.0007880268,0.0006965898,0.001493162,0.001254228],"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":[0.00003285196,0.00003372906,0.0007338588,0.00004015461,0.00001616596,0.00008962332,0.0002001053,0.0007241615,0.0008705096,0.9949021,0.000463475,0.001893159],"study_design_scores_gemma":[0.00003157405,0.00003605492,0.0005872997,0.00003289852,0.00002096956,0.0002960573,0.00009227242,0.02945604,0.001787545,0.9662371,0.001394076,0.00002815715],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5806803,0.001620711,0.3541035,0.00380785,0.0003867872,0.000093705,0.0002715231,0.0006274561,0.05840823],"genre_scores_gemma":[0.9724842,0.0004760444,0.01501212,0.0004662998,0.0004966501,0.0001878806,0.0001696924,0.000166478,0.01054063],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00668683,"threshold_uncertainty_score":0.02729154,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06927443047457743,"score_gpt":0.3872205833003534,"score_spread":0.3179461528257759,"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."}}