{"id":"W4416048332","doi":"10.1093/imrn/rnaf337","title":"On the Brun–Titchmarsh Theorem. II","year":2025,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal; Université du Québec à Montréal","funders":"","keywords":"Kloosterman sum; Argument (complex analysis); Bounding overwatch; Prime (order theory); Upper and lower bounds; 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":[0.003901551,0.0008915531,0.001048828,0.00287298,0.001756429,0.002044137,0.002013501,0.001106247,0.009763616],"category_scores_gemma":[0.01256696,0.0004452008,0.001241705,0.001399708,0.005490602,0.007322269,0.003878777,0.00506097,0.002243704],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002588975,"about_ca_system_score_gemma":0.0007343423,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001849764,"about_ca_topic_score_gemma":0.0009710421,"domain_scores_codex":[0.9988347,0.0002710397,0.000039931,0.0002351351,0.0003395896,0.0002796869],"domain_scores_gemma":[0.9954807,0.002490938,0.0003998841,0.0005755921,0.0005911065,0.0004618101],"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":[0.00003109688,0.000008100633,0.0003687349,0.00005192488,0.000007503051,0.00003888716,0.0001050937,0.001027365,0.00054954,0.9885681,0.003203412,0.006040304],"study_design_scores_gemma":[0.000008124223,0.00001460519,0.0005347383,0.00003080978,0.00001144675,0.00009833391,0.0000535324,0.009291637,0.0007291246,0.9825032,0.006710992,0.00001346515],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.159898,0.0156692,0.4601101,0.01214675,0.002449517,0.0001136283,0.0006688677,0.0005873755,0.3483566],"genre_scores_gemma":[0.9037719,0.004218812,0.0466243,0.00244779,0.002019011,0.0001852189,0.0005334067,0.0004472832,0.03975219],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009763616,"threshold_uncertainty_score":0.03266257,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1591561816450226,"score_gpt":0.4764288821584829,"score_spread":0.3172727005134603,"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."}}