{"id":"W1996888223","doi":"10.1090/tran6689","title":"Cyclic polynomials in two variables","year":2015,"lang":"en","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Holomorphic and Operator Theory","field":"Mathematics","cited_by":27,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Ministerio de Ciencia e Innovación; Engineering and Physical Sciences Research Council; Narodowe Centrum Nauki; European Research Council; Ministerio de Economía y Competitividad; National Science Foundation","keywords":"Mathematics; Hardy space; Polynomial; Orthogonal polynomials; Pure mathematics; Boundary (topology); Dirichlet distribution; Space (punctuation); Classical orthogonal polynomials; Difference polynomials; Discrete orthogonal polynomials; Mathematical analysis; Boundary value problem","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":[0.0009914911,0.0001544128,0.0004985016,0.00002569416,0.00007505748,0.00001310382,0.0003875699,0.00003889283,0.0001692929],"category_scores_gemma":[0.0002360228,0.0001036515,0.0003174978,0.0005095556,0.0006650805,0.00007393208,0.00002359942,0.0002519271,0.00002794676],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009616611,"about_ca_system_score_gemma":0.000102905,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001578379,"about_ca_topic_score_gemma":0.00001865669,"domain_scores_codex":[0.9986246,0.0001954059,0.0004610786,0.0001652528,0.0002974096,0.0002563111],"domain_scores_gemma":[0.9984403,0.000683381,0.0001961851,0.0005119498,0.00005447095,0.0001136905],"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":[0.0004712188,0.007739616,0.004405168,0.00109023,0.001370681,0.0000102479,0.05799348,0.003017214,0.03101432,0.8628866,0.01907352,0.01092768],"study_design_scores_gemma":[0.001533143,0.0001098214,0.0002969756,0.0001436552,0.0001981319,0.00003127994,0.009657014,0.002668591,0.007886429,0.9768028,0.0003216496,0.0003505141],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8449609,0.00002594056,0.1480967,0.001009534,0.00008130992,0.0003556,0.00002119229,0.00007628951,0.005372528],"genre_scores_gemma":[0.952111,0.000009878586,0.04710483,0.0002082594,0.00002805407,0.00002949799,3.126272e-7,0.00002623579,0.0004819151],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1139162,"threshold_uncertainty_score":0.4226785,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04750514573254189,"score_gpt":0.334366573182394,"score_spread":0.2868614274498522,"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."}}