{"id":"W2276785395","doi":"10.1016/j.ffa.2015.08.006","title":"On coefficients of Carlitz cyclotomic polynomials","year":2015,"lang":"en","type":"article","venue":"Finite Fields and Their Applications","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"International Development Research Centre","keywords":"Mathematics; Cyclotomic polynomial; Polynomial; Reciprocal polynomial; Finite field; Combinatorics; Field (mathematics); Function (biology); Function field; Discrete mathematics; Pure mathematics; Matrix polynomial; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001357486,0.001392556,0.0009203163,0.004382534,0.001508924,0.002561447,0.0008904736,0.001047725,0.006916214],"category_scores_gemma":[0.00716878,0.0005164815,0.0004645329,0.004656557,0.004383733,0.004196921,0.002042445,0.003322014,0.0009886539],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00229445,"about_ca_system_score_gemma":0.0008017286,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002140946,"about_ca_topic_score_gemma":0.001821571,"domain_scores_codex":[0.999379,0.0001886379,0.00002284637,0.00008093572,0.000182313,0.0001462052],"domain_scores_gemma":[0.9972225,0.001628146,0.0003671763,0.0001689484,0.0003204851,0.0002926449],"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":[0.00003736741,0.0000160148,0.0002348502,0.00004595511,0.000004122253,0.00006735294,0.0002762745,0.00123386,0.0006011912,0.9905068,0.0009253159,0.006050955],"study_design_scores_gemma":[0.00001431856,0.00001192242,0.0003288949,0.00003670878,0.000007054414,0.00009770477,0.0001139219,0.0040615,0.0003782757,0.9922231,0.002710726,0.0000158937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6020935,0.01473031,0.1179667,0.006709046,0.00190999,0.00007186006,0.0004927715,0.0002506993,0.255775],"genre_scores_gemma":[0.9600431,0.006757568,0.009118295,0.00038319,0.001524111,0.0000502798,0.0001720062,0.00007204721,0.02187942],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006916214,"threshold_uncertainty_score":0.02313709,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07218421197441277,"score_gpt":0.3419888466403706,"score_spread":0.2698046346659578,"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."}}