{"id":"W2059837824","doi":"10.1112/s002557931200109x","title":"THE DISTRIBUTION OF THE MAXIMUM OF CHARACTER SUMS","year":2013,"lang":"en","type":"article","venue":"Mathematika","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Muscular Dystrophy Canada","funders":"Division of Mathematical Sciences; Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Character (mathematics); Distribution (mathematics); Exponential function; Square root; Exponential distribution; Square (algebra)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002767173,0.0007760618,0.0009945594,0.002966615,0.0008189108,0.003722842,0.001636184,0.001125376,0.006090059],"category_scores_gemma":[0.04136259,0.0006997802,0.0005707771,0.001316913,0.003238359,0.007227305,0.002766292,0.002902595,0.001059984],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001504115,"about_ca_system_score_gemma":0.0005240364,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003214295,"about_ca_topic_score_gemma":0.0002069751,"domain_scores_codex":[0.9984333,0.000421951,0.00006416976,0.0004472521,0.0003615695,0.0002717724],"domain_scores_gemma":[0.9757547,0.01604974,0.002360343,0.002093252,0.002202599,0.001539391],"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":[0.0005806304,0.00007143289,0.007394486,0.0003740504,0.00005730365,0.0003176714,0.0005590601,0.0286187,0.02266148,0.9048707,0.003268073,0.03122652],"study_design_scores_gemma":[0.00003740849,0.0001384195,0.008034135,0.0002084551,0.00004411624,0.00094915,0.0001994447,0.1712154,0.01546246,0.7985237,0.005052827,0.0001344095],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.533065,0.001809631,0.4301902,0.003134465,0.0002448411,0.00005376516,0.0009301003,0.00110628,0.02946573],"genre_scores_gemma":[0.9794275,0.0008077163,0.01404639,0.0001926935,0.0003959639,0.0001032678,0.0004445894,0.0003125791,0.004269483],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006090059,"threshold_uncertainty_score":0.02037323,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03538364809527467,"score_gpt":0.3025199221700655,"score_spread":0.2671362740747908,"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."}}