{"id":"W1589043872","doi":"10.1353/ajm.2016.0003","title":"Bounds for p -adic exponential sums and log-canonical thresholds","year":2016,"lang":"en","type":"article","venue":"American Journal of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"Agence Nationale de la Recherche","keywords":"Mathematics; Conjecture; Exponential function; Modulo; Homogeneity (statistics); Combinatorics; Polynomial; Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001816719,0.0002012179,0.000729986,0.0001705079,0.00009287017,0.00005656227,0.0004190031,0.00005978018,0.0001760671],"category_scores_gemma":[0.001664733,0.0001207105,0.0002388661,0.000162355,0.0008782917,0.0001638115,0.000103351,0.0001861653,0.0000149939],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000911528,"about_ca_system_score_gemma":0.000188393,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002774286,"about_ca_topic_score_gemma":0.000005129976,"domain_scores_codex":[0.9978758,0.00010694,0.0008473046,0.0001688069,0.0005784252,0.0004227895],"domain_scores_gemma":[0.9950055,0.003231814,0.0008110618,0.0003612194,0.0003109099,0.000279511],"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":[0.001052892,0.002165706,0.006578736,0.0009128884,0.001931236,0.0001748396,0.00526659,0.00000159809,0.0146034,0.8223032,0.0316973,0.1133116],"study_design_scores_gemma":[0.002624601,0.00193618,0.0001333454,0.0005275022,0.0003620632,0.001428011,0.002991392,0.0002483081,0.00149229,0.9840613,0.003807403,0.000387581],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8147922,0.00007850122,0.1826376,0.001469,0.0001061525,0.00022347,0.00001393658,0.00002047484,0.0006587234],"genre_scores_gemma":[0.9112375,0.0001008257,0.08714835,0.00006097439,0.0002860023,0.000009254733,2.968113e-7,0.00006101697,0.001095823],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1617581,"threshold_uncertainty_score":0.492243,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05448696776770175,"score_gpt":0.3601661458875199,"score_spread":0.3056791781198182,"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."}}