{"id":"W2503102219","doi":"10.1090/gsm/134/03","title":"The Riemann zeta function","year":2012,"lang":"en","type":"book-chapter","venue":"Graduate studies in mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Riemann zeta function; Riemann hypothesis; Function (biology); Mathematics; Physics; Mathematical analysis; Biology","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004139108,0.0007028175,0.001193933,0.0002084661,0.0005018809,0.00006908378,0.0007310791,0.0003060332,0.0001809312],"category_scores_gemma":[0.001993877,0.000460384,0.0003519004,0.0001189007,0.001139473,0.00009947814,0.0007767837,0.001212706,0.001091867],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003631608,"about_ca_system_score_gemma":0.00006205194,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001545465,"about_ca_topic_score_gemma":0.00006386957,"domain_scores_codex":[0.9960759,0.0001180702,0.001249661,0.0004382243,0.001277701,0.0008404798],"domain_scores_gemma":[0.9920615,0.005247682,0.0006775601,0.001467186,0.0004293405,0.0001167062],"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":[0.00002309257,0.00006683968,0.000005061817,0.001031371,0.0009969344,0.0000214368,0.002792084,3.288539e-7,7.2903e-7,0.9525493,0.04023299,0.002279792],"study_design_scores_gemma":[0.0002377852,0.00004873331,0.00000265447,0.0007315272,0.0004679167,0.00002941558,0.0022061,0.00005437662,0.000003256997,0.9420248,0.05375829,0.0004351648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001736903,0.01051596,0.0008177509,0.0007122346,0.001258689,0.001464384,0.00002585954,0.0002007977,0.9848306],"genre_scores_gemma":[0.002431209,0.01036209,0.004645564,0.00004295654,0.0007577608,0.0001316919,0.00001003113,0.0002947465,0.981324],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.0135253,"threshold_uncertainty_score":0.9997848,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3470647083239097,"score_gpt":0.4096094262371614,"score_spread":0.06254471791325172,"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."}}