{"id":"W2144401502","doi":"10.4153/cmb-2004-046-0","title":"Strong Multiplicity One for the Selberg Class","year":2004,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Selberg trace formula; Dirichlet series; Multiplicity (mathematics); Class (philosophy); Pure mathematics; Dirichlet distribution; Mathematical analysis; Riemann hypothesis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001719747,0.0006832416,0.0009631036,0.003122728,0.002299898,0.003628414,0.001071289,0.001131997,0.007437136],"category_scores_gemma":[0.007831738,0.0003686058,0.0007494796,0.001190077,0.005357621,0.006312983,0.002640185,0.002494952,0.0006628658],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002032142,"about_ca_system_score_gemma":0.0006584972,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006779847,"about_ca_topic_score_gemma":0.0004697243,"domain_scores_codex":[0.9989997,0.0002240002,0.0000394302,0.000222391,0.0002743106,0.0002402558],"domain_scores_gemma":[0.9962116,0.002048311,0.0004416528,0.0002518203,0.0003487744,0.0006978369],"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":[0.00005433286,0.00001245761,0.0006908841,0.00002445482,0.000005538291,0.00007480037,0.0001992733,0.0008972437,0.0009262556,0.9939426,0.0003418409,0.002830409],"study_design_scores_gemma":[0.00001166058,0.00002001297,0.0002716136,0.00001222004,0.000005060777,0.00008584925,0.0000851494,0.004239892,0.001107063,0.9931403,0.001007342,0.00001384633],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8203789,0.0005888212,0.1170806,0.002433814,0.0002895078,0.00004494121,0.0001565264,0.0001708189,0.05885603],"genre_scores_gemma":[0.9842017,0.0001980455,0.007946647,0.00009637507,0.0002139709,0.00002774258,0.00006856734,0.00003293316,0.007213955],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007437136,"threshold_uncertainty_score":0.02487969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07915651142518335,"score_gpt":0.325128005483645,"score_spread":0.2459714940584617,"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."}}