{"id":"W4403525653","doi":"10.2140/ant.2024.18.2091","title":"The distribution of large quadratic character sums and applications","year":2024,"lang":"en","type":"article","venue":"Algebra & Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Character (mathematics); Distribution (mathematics); Quadratic equation; Pure mathematics; Mathematical analysis; Geometry","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":[0.004178236,0.0009640032,0.001770655,0.005293528,0.001809163,0.005243804,0.002641489,0.001833611,0.01045857],"category_scores_gemma":[0.03859219,0.001063107,0.0006697187,0.004051237,0.00693141,0.008342604,0.004564055,0.003254215,0.001082868],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001677008,"about_ca_system_score_gemma":0.0007518947,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006128288,"about_ca_topic_score_gemma":0.0003518652,"domain_scores_codex":[0.9983252,0.0007150929,0.00005291123,0.0003069508,0.0003691565,0.0002306505],"domain_scores_gemma":[0.966084,0.02468435,0.002331493,0.001954127,0.00200405,0.002941964],"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":[0.0001046159,0.00005672511,0.001865857,0.0001168783,0.00001724352,0.0001065059,0.0002886885,0.006788414,0.0009777199,0.9790198,0.002531751,0.008125637],"study_design_scores_gemma":[0.00003401566,0.00003344732,0.002375413,0.00004991274,0.00001622933,0.0003758286,0.0001712959,0.05732428,0.0005625727,0.9368768,0.002134348,0.00004587648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7406129,0.006135365,0.1869557,0.009795673,0.000520085,0.00006756339,0.0005879054,0.0009110279,0.05441387],"genre_scores_gemma":[0.9825038,0.002052702,0.004409846,0.0003062398,0.00169882,0.00007564433,0.0002989872,0.0001733657,0.008480428],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01045857,"threshold_uncertainty_score":0.03498739,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01874869182008347,"score_gpt":0.334681785991121,"score_spread":0.3159330941710375,"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."}}