{"id":"W2232363297","doi":"10.1007/978-1-4614-1260-1_21","title":"A variant of the Lang–Trotter conjecture","year":2011,"lang":"en","type":"book-chapter","venue":"","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; Queen's University","funders":"","keywords":"Conjecture; Mathematics; Modular form; Automorphism; Fourier series; Distribution (mathematics); Value (mathematics); Elliptic curve; Pure mathematics; Mathematical analysis; Statistics","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":[0.001102692,0.0006170913,0.0007030609,0.0009514898,0.001385037,0.002432839,0.0008938662,0.001801221,0.01088537],"category_scores_gemma":[0.002659818,0.000336094,0.001037367,0.0008021195,0.005175999,0.008423075,0.001614901,0.004127328,0.003896153],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001020756,"about_ca_system_score_gemma":0.0006055872,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008847935,"about_ca_topic_score_gemma":0.0008873614,"domain_scores_codex":[0.9994392,0.000159716,0.00002653513,0.00015414,0.0001517986,0.00006861474],"domain_scores_gemma":[0.9993502,0.0002752175,0.00005216619,0.0001789483,0.0001031175,0.00004018953],"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":[0.00001011608,0.000005587619,0.00002883473,0.00002291664,0.000003154053,0.00003023734,0.00008027184,0.0002544939,0.0001500431,0.9887948,0.006117627,0.004501936],"study_design_scores_gemma":[0.000004739602,0.000004697927,0.00005211324,0.00001471074,0.00000233259,0.00004626414,0.00001455442,0.0005989368,0.00008107653,0.9828374,0.01633749,0.000005719157],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.02229202,0.007514646,0.09362586,0.01726801,0.005616374,0.00004103716,0.000356956,0.0003884671,0.8528967],"genre_scores_gemma":[0.5658344,0.01129558,0.04237447,0.01009039,0.01014786,0.0002191578,0.0007482067,0.0006854631,0.3586046],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01088537,"threshold_uncertainty_score":0.03641516,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05165062725419341,"score_gpt":0.260507291032392,"score_spread":0.2088566637781985,"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."}}