{"id":"W2019731284","doi":"10.1007/s10986-012-9162-8","title":"Exponential sums and arithmetic functions at polynomial values","year":2012,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Number theory; Polynomial; Exponential function; Exponential polynomial; Arithmetic function; Ordinary differential equation; Arithmetic; Discrete mathematics; Applied mathematics; Algebra over a field; Pure mathematics; Differential equation; Mathematical analysis","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":[0.0008333931,0.0008332851,0.0008718171,0.004655857,0.001827965,0.00497524,0.001118889,0.001059181,0.007874173],"category_scores_gemma":[0.005128311,0.0003663557,0.0006339744,0.003613866,0.004695309,0.005953941,0.003119339,0.002728789,0.001465055],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001766154,"about_ca_system_score_gemma":0.0007537273,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004653923,"about_ca_topic_score_gemma":0.0002372425,"domain_scores_codex":[0.9991264,0.000207877,0.00005341056,0.0001631268,0.0002717634,0.0001774402],"domain_scores_gemma":[0.9984164,0.000795465,0.0002146052,0.0001589551,0.0002686892,0.0001458149],"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":[0.0000311997,0.000008844038,0.0001626326,0.00003745342,0.000006138648,0.00006021532,0.0001870931,0.0003057607,0.0002619221,0.9927395,0.0004774583,0.005721784],"study_design_scores_gemma":[0.000008194,0.0000099857,0.0003290643,0.00001910762,0.00001395063,0.0001850348,0.00008033663,0.001093918,0.0005396216,0.9941674,0.003542237,0.00001114293],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5837445,0.008392042,0.09989175,0.006078016,0.001022282,0.00004063294,0.0003712556,0.0003511753,0.3001084],"genre_scores_gemma":[0.9588458,0.002202083,0.007647555,0.000270175,0.0008450295,0.0000426679,0.0001375339,0.00009444691,0.02991473],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007874173,"threshold_uncertainty_score":0.02634168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05894489549580711,"score_gpt":0.3395689592046675,"score_spread":0.2806240637088603,"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."}}