{"id":"W2963965565","doi":"10.1090/proc/14095","title":"A more intuitive proof of a sharp version of Halász’s theorem","year":2018,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"H2020 European Research Council; Canada Research Chairs; Simons Foundation; National Science Foundation","keywords":"Mathematics; Calculus (dental); Mathematical economics; Discrete mathematics","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.002754118,0.0004913942,0.001812587,0.00008965148,0.0001898583,0.00003444126,0.001876092,0.0001989151,0.0006846832],"category_scores_gemma":[0.003751868,0.0003321511,0.001346906,0.001701054,0.0120505,0.0001943637,0.001608942,0.0006198888,0.00004048038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002028864,"about_ca_system_score_gemma":0.0002228504,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005067522,"about_ca_topic_score_gemma":6.015379e-7,"domain_scores_codex":[0.9953168,0.00007750451,0.001477818,0.000552995,0.001837569,0.0007372996],"domain_scores_gemma":[0.9925163,0.001346776,0.002967564,0.0006452392,0.002309291,0.000214873],"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":[0.001254233,0.004124841,0.003476114,0.01809487,0.003021859,7.808228e-7,0.09322415,9.242671e-7,0.06295101,0.7916296,0.0195579,0.002663774],"study_design_scores_gemma":[0.0008917208,0.001362844,0.0003984663,0.003176544,0.0009029257,0.00001880221,0.05454047,0.008202719,0.2523902,0.6776181,0.0000777587,0.0004194046],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9706109,0.00005714535,0.001747423,0.001451574,0.00004726931,0.001405699,0.0001288543,0.00003906745,0.02451212],"genre_scores_gemma":[0.9777614,0.00003176982,0.02054658,0.000107338,0.0001389489,0.00002962124,9.87059e-7,0.00009398815,0.001289329],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1894392,"threshold_uncertainty_score":0.999913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02476991502047419,"score_gpt":0.3209861867526875,"score_spread":0.2962162717322133,"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."}}