{"id":"W2096335575","doi":"10.1006/jnth.2000.2613","title":"Twisted L-Functions and Complex Multiplication","year":2001,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Multiplication (music); Complex multiplication; Arithmetic; Pure mathematics; Algebra over a field; Combinatorics; Elliptic curve","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001152376,0.000117311,0.0002389751,0.00009088199,0.0001176736,0.00002527225,0.0001392046,0.00007247453,0.004663575],"category_scores_gemma":[0.0007296785,0.00009550731,0.0001053099,0.0002006349,0.0001133719,0.0001898569,0.00003747959,0.0002298196,0.0001033455],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003374751,"about_ca_system_score_gemma":0.00002252515,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001088146,"about_ca_topic_score_gemma":0.000001049214,"domain_scores_codex":[0.9989048,0.0002238507,0.0004270347,0.0001005696,0.0001935473,0.0001502611],"domain_scores_gemma":[0.9978239,0.001294474,0.0003845536,0.0001997585,0.0001816123,0.0001157031],"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":[0.001146825,0.0009523694,0.01325135,0.0001093733,0.0005599104,0.0001149761,0.002353155,0.000005869066,0.002933691,0.8559405,0.07912846,0.04350348],"study_design_scores_gemma":[0.0008964053,0.00006627369,0.01018565,0.00005736682,0.0001139461,0.002770463,0.00151037,0.00003298069,0.00009103222,0.9393432,0.04478148,0.0001508775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9280602,0.000102962,0.03122482,0.0004834428,0.0003169162,0.0001195103,0.00001267645,0.00004658339,0.03963289],"genre_scores_gemma":[0.9893028,0.00003599439,0.003650196,0.0001758718,0.0002814815,0.000003014548,0.000004603109,0.00002061185,0.0065254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08340261,"threshold_uncertainty_score":0.9962463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05080313169731722,"score_gpt":0.3189398606361721,"score_spread":0.2681367289388549,"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."}}