{"id":"W2521143042","doi":"10.4153/cmb-2016-066-x","title":"A Note on Lawton’s Theorem","year":2016,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Northern British Columbia","funders":"","keywords":"Mathematics; Monic polynomial; Conjecture; Upper and lower bounds; Bounded function; Multiplicity (mathematics); Polynomial; Combinatorics; Variable (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.001240505,0.0002626228,0.0003813718,0.0002099249,0.0001493055,0.00005407242,0.0005416427,0.0001710187,0.08812141],"category_scores_gemma":[0.004656263,0.0001611561,0.00015866,0.0001596393,0.0003187202,0.0000277306,0.00006182452,0.0002359128,0.1022555],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004701302,"about_ca_system_score_gemma":0.000252452,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001725701,"about_ca_topic_score_gemma":0.0007873119,"domain_scores_codex":[0.9976374,0.0001887707,0.0003896731,0.0003935814,0.0004972391,0.0008933297],"domain_scores_gemma":[0.9947925,0.003138682,0.00006581903,0.0008625081,0.0001003274,0.00104022],"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":[0.00002107031,0.00005468817,0.00001339001,0.0000474651,0.00002546369,0.00009482929,0.0001253304,5.220765e-8,0.00008527401,0.9216707,0.07515794,0.002703744],"study_design_scores_gemma":[0.0004050697,0.00006334456,0.00001367996,0.0002531281,0.00002022516,0.00003435706,0.00005090683,0.00002554495,0.0004966978,0.8813245,0.1170658,0.0002467885],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.0547283,0.00001639045,0.02083201,0.07613453,0.0001315344,0.0009116025,0.000095116,0.0002808579,0.8468696],"genre_scores_gemma":[0.9136752,0.000004088219,0.003918496,0.001601748,0.000193687,0.0000679047,0.000001516104,0.0001065356,0.08043076],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.858947,"threshold_uncertainty_score":0.9127122,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03787740042540504,"score_gpt":0.3106756950968497,"score_spread":0.2727982946714447,"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."}}