{"id":"W2045753194","doi":"10.1088/1751-8113/45/11/115207","title":"A random matrix model for elliptic curve<i>L</i>-functions of finite conductor","year":2012,"lang":"en","type":"article","venue":"Journal of Physics A Mathematical and Theoretical","topic":"Geometry and complex manifolds","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Random matrix; Eigenvalues and eigenvectors; Elliptic curve; Matrix (chemical analysis); Distribution (mathematics); Orthogonal matrix; Characteristic polynomial; Orthogonal polynomials; Scaling","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":[0.001021992,0.000571414,0.0008605615,0.001172191,0.0008998129,0.001599875,0.002078589,0.001566287,0.003600083],"category_scores_gemma":[0.002276074,0.0003181403,0.0008376852,0.0005167619,0.002111695,0.002222416,0.0007913988,0.001117606,0.0007208597],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001219076,"about_ca_system_score_gemma":0.0005420248,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00133544,"about_ca_topic_score_gemma":0.0007013161,"domain_scores_codex":[0.9994616,0.0001790325,0.00001571009,0.00008659349,0.0001400549,0.000117094],"domain_scores_gemma":[0.9989838,0.0003384892,0.0001823468,0.0001512706,0.0001658367,0.0001782614],"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":[0.00003773592,0.00004208848,0.000534048,0.00003863014,0.00001263893,0.0002617402,0.0001526978,0.08621643,0.003459074,0.9065166,0.001141112,0.00158722],"study_design_scores_gemma":[0.00002395657,0.00004895663,0.0002827277,0.00001311673,0.000006527177,0.0001641806,0.00006346883,0.7412196,0.0007073277,0.2561025,0.001334612,0.00003303334],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4834595,0.001044513,0.4769489,0.00274495,0.000179852,0.0001485663,0.0003065149,0.0005028673,0.03466445],"genre_scores_gemma":[0.9660349,0.0004585738,0.01961606,0.0003160512,0.0001564458,0.0001944837,0.0001609865,0.0001345473,0.01292778],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003600083,"threshold_uncertainty_score":0.01204348,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05541968184140694,"score_gpt":0.3182130447141707,"score_spread":0.2627933628727638,"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."}}