{"id":"W2466070337","doi":"10.1093/imrn/rnx031","title":"A Chebotarev Variant of the Brun–Titchmarsh Theorem and Bounds for the Lang-Trotter conjectures","year":2017,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":31,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"National Science Foundation","keywords":"Mathematics; Modular form; Zero (linguistics); Elliptic curve; Holomorphic function; Distribution (mathematics); Prime number theorem; Pure mathematics; Binary quadratic form; Binary number; Quadratic equation; Discrete mathematics; Mathematical analysis; Quadratic function; Arithmetic; Prime number","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":[0.007426017,0.001230256,0.002392058,0.006112897,0.002792423,0.003736244,0.004838227,0.002075354,0.01011638],"category_scores_gemma":[0.04845649,0.0008932767,0.002054445,0.002612285,0.009058855,0.01343734,0.007979977,0.007300697,0.001575499],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003237674,"about_ca_system_score_gemma":0.001366274,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002115618,"about_ca_topic_score_gemma":0.001266917,"domain_scores_codex":[0.9967967,0.0008232478,0.00008202771,0.0007404705,0.0009653929,0.0005922504],"domain_scores_gemma":[0.9717747,0.01729554,0.001922161,0.003919713,0.002642644,0.002445135],"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":[0.00007569666,0.00005314013,0.002628463,0.00009205612,0.00002015649,0.0000786048,0.0003216659,0.004319767,0.001089192,0.981342,0.003087258,0.006892106],"study_design_scores_gemma":[0.00002784902,0.00004441233,0.001310287,0.00004846289,0.00002278131,0.0001419676,0.00009346485,0.0469681,0.001362353,0.9470396,0.002883774,0.00005700607],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3120996,0.00524326,0.5906919,0.014469,0.0006654697,0.0001196763,0.0009017261,0.001197608,0.07461175],"genre_scores_gemma":[0.9591149,0.001565383,0.02544631,0.001362335,0.0009302919,0.0002406397,0.0005023703,0.0003630838,0.0104746],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01011638,"threshold_uncertainty_score":0.03927302,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1896932220421797,"score_gpt":0.4753846785358751,"score_spread":0.2856914564936954,"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."}}