{"id":"W2018381070","doi":"10.1007/s00029-004-0374-6","title":"Exceptional characters and prime numbers in short intervals","year":2004,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":13,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Prime (order theory); Mathematics; Arithmetic; Combinatorics","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":[0.001693649,0.0009344242,0.001147121,0.004131387,0.002903718,0.005708503,0.001000238,0.001938606,0.005989782],"category_scores_gemma":[0.009228508,0.0006303135,0.0006514591,0.00417347,0.006176436,0.00801486,0.002401265,0.003799802,0.0007923556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001521465,"about_ca_system_score_gemma":0.0004096873,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004621075,"about_ca_topic_score_gemma":0.0003284289,"domain_scores_codex":[0.9990228,0.0003684636,0.00006107986,0.0001880829,0.0002055035,0.0001539903],"domain_scores_gemma":[0.9951141,0.00321033,0.0005872995,0.0003306683,0.0003358215,0.0004217246],"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":[0.00002188452,0.000006107025,0.0001388383,0.000016884,0.000002463692,0.00005334748,0.0002811329,0.0001630272,0.0001366774,0.9967727,0.0004262431,0.001980732],"study_design_scores_gemma":[0.000009275912,0.000006686926,0.0001227082,0.000008897245,0.000004514592,0.00007086088,0.00006055372,0.0004633173,0.00008133845,0.9973042,0.001862718,0.000004991406],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6073325,0.01527211,0.1383438,0.0102475,0.002294915,0.00004785016,0.0002766905,0.0004897782,0.2256949],"genre_scores_gemma":[0.9720321,0.00263084,0.008415621,0.0003965003,0.001654668,0.00005841017,0.0001260949,0.00007286712,0.01461282],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005989782,"threshold_uncertainty_score":0.02003783,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05201073224933773,"score_gpt":0.3523336046049616,"score_spread":0.3003228723556239,"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."}}