{"id":"W3134328792","doi":"10.4171/jems/1344","title":"The values of the Dedekind–Rademacher cocycle at real multiplication points","year":2023,"lang":"en","type":"article","venue":"Journal of the European Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Infinitesimal; Dedekind cut; Pure mathematics; Quadratic equation; Field (mathematics); Multiplication (music); Real number; Algebraic number field; Discrete mathematics; Arithmetic; Combinatorics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001022728,0.0007720521,0.0005650842,0.003583941,0.00155415,0.003306262,0.001104533,0.0009731872,0.009997001],"category_scores_gemma":[0.004495242,0.0004453388,0.0006202852,0.001133905,0.005224731,0.006012461,0.002185363,0.00290297,0.001058198],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001169127,"about_ca_system_score_gemma":0.0004291309,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002571437,"about_ca_topic_score_gemma":0.000218229,"domain_scores_codex":[0.9994645,0.0001077451,0.00002995909,0.000164082,0.0001246481,0.000109171],"domain_scores_gemma":[0.9982326,0.0005516931,0.0003219535,0.000208642,0.000244916,0.0004401124],"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":[0.0000403599,0.00002146538,0.0005419645,0.00002898259,0.000005225986,0.00013522,0.0002565134,0.0004012279,0.00242918,0.9918463,0.0002606295,0.004032888],"study_design_scores_gemma":[0.00002291193,0.00006035637,0.001296655,0.00003237988,0.000007598678,0.0003902874,0.0002506875,0.004887296,0.00478695,0.9856242,0.002602177,0.00003841903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7913588,0.0006449141,0.1144588,0.001112399,0.0003199507,0.00005906891,0.0002037525,0.0001857152,0.09165654],"genre_scores_gemma":[0.9795431,0.0003083887,0.008688422,0.00007414278,0.0001553707,0.00004371905,0.00008285918,0.00006546392,0.01103857],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009997001,"threshold_uncertainty_score":0.03344333,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03812056915731594,"score_gpt":0.2981447271486218,"score_spread":0.2600241579913058,"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."}}