{"id":"W4399321733","doi":"10.3390/axioms13060381","title":"A Selberg Trace Formula for GL3(Fp)∖GL3(Fq)/K","year":2024,"lang":"en","type":"article","venue":"Axioms","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; Western University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Selberg trace formula; Mathematics; TRACE (psycholinguistics); Chemistry; Pure mathematics; Riemann hypothesis","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":[],"consensus_categories":[],"category_scores_codex":[0.0002054826,0.000185988,0.0002317936,0.0001230326,0.00009327011,0.00006648835,0.0001712576,0.0001111857,0.0001670374],"category_scores_gemma":[0.0002625195,0.0001554017,0.0001917199,0.0003729266,0.00003374974,0.0002195092,0.00004490104,0.000149902,0.0002425434],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004491175,"about_ca_system_score_gemma":0.00003691834,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002502272,"about_ca_topic_score_gemma":0.00001241726,"domain_scores_codex":[0.9988667,0.00001201695,0.0002585642,0.0003090946,0.0001804174,0.0003732581],"domain_scores_gemma":[0.9988199,0.0006830168,0.00004375058,0.0003152199,0.00004739901,0.00009067745],"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":[0.00002500448,0.00008437011,0.000007364902,0.0005715921,0.0001000504,0.00002671846,0.001125512,0.00000736575,0.0009995365,0.9442104,0.01287731,0.03996481],"study_design_scores_gemma":[0.0004780466,0.000141866,0.00003779321,0.0001391115,0.00009145702,0.00004219273,0.0002990432,0.003665987,0.005395783,0.855928,0.1334454,0.0003353338],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2765799,0.002779363,0.7074117,0.001500091,0.001311948,0.0009278854,0.0000952788,0.0008531242,0.008540711],"genre_scores_gemma":[0.9726253,0.0000288206,0.01013626,0.0001626424,0.0004520759,0.0001179664,0.00001464358,0.00007963674,0.01638266],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6972755,"threshold_uncertainty_score":0.6337096,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04610737477557849,"score_gpt":0.3758021036710743,"score_spread":0.3296947288954958,"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."}}