{"id":"W2025569504","doi":"10.4153/cmb-2003-009-3","title":"Cercles de remplissage for the Riemann Zeta Function","year":2003,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Zero (linguistics); Riemann hypothesis; Riemann zeta function; Pure mathematics; Constant (computer programming); Particular values of Riemann zeta function; Function (biology); Value (mathematics); Mathematical analysis; Arithmetic zeta function; Prime zeta function; Statistics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.00209397,0.0007423837,0.00141247,0.002960947,0.002980903,0.004532057,0.00106489,0.001693911,0.007350442],"category_scores_gemma":[0.01279528,0.0004468462,0.0008455793,0.001105793,0.006749505,0.003805228,0.002835719,0.004845676,0.001391785],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.004467919,"about_ca_system_score_gemma":0.001030128,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.009841911,"about_ca_topic_score_gemma":0.004087119,"domain_scores_codex":[0.9988329,0.0002315944,0.00004380196,0.0002583028,0.0004253807,0.0002079944],"domain_scores_gemma":[0.9961441,0.001608922,0.0003748254,0.0003068076,0.0009539421,0.0006115068],"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":[0.00003215077,0.000007575034,0.0003462756,0.00002118115,0.00000461997,0.0001543208,0.0001589423,0.0006215516,0.0004165065,0.9927676,0.001291288,0.004178035],"study_design_scores_gemma":[0.00002022558,0.000018444,0.001008656,0.00003354934,0.000008440285,0.0003712757,0.0001184521,0.006958378,0.00076342,0.9787567,0.01192233,0.00002012138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4953152,0.01005375,0.1212352,0.01083125,0.001463589,0.00004874807,0.0003877945,0.0007538122,0.3599107],"genre_scores_gemma":[0.9630297,0.001437808,0.005818988,0.0004286399,0.0009589353,0.00003904588,0.000174278,0.0001321187,0.02798053],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009841911,"threshold_uncertainty_score":0.03241718,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06304790828909332,"score_gpt":0.2731259150314722,"score_spread":0.2100780067423789,"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."}}