{"id":"W2076033255","doi":"10.1080/10586458.2011.564545","title":"Generalized Gorshkov–Wirsing Polynomials and the Integer Chebyshev Problem","year":2011,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Chebyshev polynomials; Integer (computer science); Discrete mathematics; Combinatorics; Uniform norm; Classical orthogonal polynomials; Polynomial; Orthogonal polynomials; 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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001568713,0.0002970991,0.0005375704,0.00007801551,0.0002365476,0.00009383484,0.0004303918,0.0001007003,0.001223716],"category_scores_gemma":[0.0002534451,0.0001867453,0.0001526678,0.0001531184,0.0007217351,0.0001493734,0.0003648489,0.0002375604,0.0001222616],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009101553,"about_ca_system_score_gemma":0.00003417211,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006358526,"about_ca_topic_score_gemma":0.000003827549,"domain_scores_codex":[0.9980106,0.0002320411,0.0006086213,0.0002972554,0.000413417,0.0004380943],"domain_scores_gemma":[0.998372,0.0006061904,0.0002097089,0.0006116036,0.00005610431,0.0001444463],"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":[0.0001656268,0.0004591751,0.00002882011,0.0001080304,0.0001741943,0.000008786848,0.04978063,8.188627e-8,0.005966417,0.9415355,0.001618697,0.0001540286],"study_design_scores_gemma":[0.002914124,0.00008355604,0.000006572771,0.0001221708,0.00009853084,0.0001377329,0.01345628,0.001297445,0.1553551,0.8258924,0.0002671572,0.0003688247],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8597035,0.001059675,0.007032952,0.000393779,0.0001756171,0.001951878,0.0000068114,0.0002481662,0.1294276],"genre_scores_gemma":[0.8609735,0.00002230482,0.1338978,0.0001438916,0.0001154669,0.0001671697,0.00000168344,0.00009270634,0.004585544],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1493887,"threshold_uncertainty_score":0.9996893,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1029786806276009,"score_gpt":0.3522769952167636,"score_spread":0.2492983145891627,"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."}}