{"id":"W2152421008","doi":"10.1142/s179304211250131x","title":"SIMPLE ZEROS OF MAASS L-FUNCTIONS","year":2012,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"University of Rochester","keywords":"Simple (philosophy); Mathematics; Zero (linguistics); Function (biology); Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002448239,0.0001202526,0.0002720948,0.0001772852,0.00003785498,0.00002339978,0.0006253565,0.00006738539,0.0159151],"category_scores_gemma":[0.001769986,0.00009804051,0.0002731048,0.0001238622,0.0001522985,0.000401578,0.0001280461,0.0003068124,0.0002522894],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001289376,"about_ca_system_score_gemma":0.0000908474,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000519535,"about_ca_topic_score_gemma":9.877607e-7,"domain_scores_codex":[0.9978083,0.0002799482,0.0006729148,0.00007679329,0.0009151014,0.0002469144],"domain_scores_gemma":[0.9962488,0.001905971,0.0005811815,0.0002095937,0.0008943143,0.0001601747],"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":[0.0005351744,0.0009264948,0.03675866,0.00003138078,0.00132981,0.00003597225,0.001106064,0.000009413601,0.001830085,0.8958747,0.05763338,0.00392883],"study_design_scores_gemma":[0.0007701518,0.00004818925,0.002073113,0.0000905994,0.000104101,0.0007187969,0.001242274,0.00001865633,0.002967827,0.9680837,0.02374602,0.00013659],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8450223,0.0001457222,0.07365913,0.000474937,0.002305717,0.0001702433,0.0002430269,0.00003628263,0.0779427],"genre_scores_gemma":[0.991477,0.00001071821,0.002235943,0.00007919326,0.0008692138,0.00000283082,0.000007108436,0.00002793995,0.005290087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1464547,"threshold_uncertainty_score":0.9849845,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05730954520415499,"score_gpt":0.3927377905592048,"score_spread":0.3354282453550498,"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."}}