{"id":"W2766170851","doi":"10.1093/qmath/hay018","title":"Low-lying zeros of quadratic Dirichlet L-functions: A transition in the ratios conjecture","year":2018,"lang":"en","type":"preprint","venue":"The Quarterly Journal of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"Natural Sciences and Engineering Research Council of Canada; Vetenskapsrådet","keywords":"Conjecture; Mathematics; Quadratic equation; Function (biology); Dirichlet distribution; Order (exchange); Combinatorics; Fourier transform; Pure mathematics; Mathematical analysis; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.008639917,0.0004225928,0.001146763,0.0003532496,0.0001672763,0.0001717774,0.001601296,0.0003101601,0.000177525],"category_scores_gemma":[0.000817264,0.0002266108,0.0005613166,0.0003925595,0.000436621,0.0001589983,0.00007530673,0.001911391,0.00003060856],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001327648,"about_ca_system_score_gemma":0.0003638928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001337291,"about_ca_topic_score_gemma":0.00003673953,"domain_scores_codex":[0.9943293,0.001339516,0.002270475,0.0002175182,0.001464809,0.0003784316],"domain_scores_gemma":[0.9916432,0.004092752,0.002346406,0.001223131,0.0006194276,0.00007512047],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"qualitative","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0006034271,0.006127455,0.00006228013,0.01693925,0.002905041,0.0002704409,0.8319318,0.001280037,0.002799881,0.1137824,0.01876388,0.004534176],"study_design_scores_gemma":[0.0008301495,0.0008176834,0.00001548851,0.002525138,0.0006627711,0.0005487204,0.04514578,0.004450189,0.0004064947,0.9443205,0.00002704738,0.0002500312],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7710748,0.0003274668,0.2245126,0.001931983,0.0003171859,0.001335303,0.00003522269,0.00002015424,0.0004452519],"genre_scores_gemma":[0.9925492,0.00005252683,0.006563513,0.00008968094,0.0004866376,0.00004310096,0.000005557178,0.00006793744,0.0001418686],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8305382,"threshold_uncertainty_score":0.9240922,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05668143357854007,"score_gpt":0.3428831327569438,"score_spread":0.2862016991784037,"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."}}