{"id":"W2128705017","doi":"10.1016/j.jnt.2015.10.003","title":"Explicit estimates for the zeros of Hecke L-functions","year":2015,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Pure mathematics; Arithmetic; Econometrics","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":[],"category_scores_codex":[0.004773406,0.0001377565,0.0003933567,0.00008031799,0.0001022322,0.00003129775,0.0005095171,0.00006978344,0.001210044],"category_scores_gemma":[0.005649421,0.00008163851,0.0003077401,0.0001845657,0.000190084,0.0001678079,0.00008123418,0.0002883982,0.00006541084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007647253,"about_ca_system_score_gemma":0.0002121361,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003457958,"about_ca_topic_score_gemma":0.000001800425,"domain_scores_codex":[0.9982803,0.0001999945,0.0006427301,0.00009611681,0.000533313,0.0002474911],"domain_scores_gemma":[0.9903253,0.007691266,0.0005574008,0.0003880283,0.00087536,0.0001626161],"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":[0.001095419,0.0004287355,0.001562579,0.0001431555,0.0009197637,0.00001422429,0.002223504,0.00007096502,0.0005687964,0.7932028,0.1973502,0.002419881],"study_design_scores_gemma":[0.0009483153,0.0001676695,0.00006398842,0.000107311,0.0002991334,0.0002933701,0.005023287,0.0003180759,0.001427235,0.981995,0.009259517,0.00009703002],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1866239,0.001231605,0.775961,0.002332225,0.001401868,0.001166666,0.0002178516,0.00007183015,0.03099301],"genre_scores_gemma":[0.9654254,0.00002209192,0.01991488,0.0001260142,0.0006793013,0.00003654497,0.000003181924,0.00007823572,0.01371435],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7788015,"threshold_uncertainty_score":0.999703,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1469848820137204,"score_gpt":0.4024628970701461,"score_spread":0.2554780150564256,"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."}}