{"id":"W2963469739","doi":"10.2140/pjm.2012.257.395","title":"The<i>L</i><sub>4</sub>norm of Littlewood polynomials derived from the Jacobi symbol","year":2012,"lang":"en","type":"article","venue":"Pacific Journal of Mathematics","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Norm (philosophy); Symbol (formal); Combinatorics; Jacobi polynomials; Legendre symbol; Pure mathematics; Orthogonal polynomials; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001400143,0.0003688135,0.000374589,0.00102579,0.0006541462,0.001399906,0.0009436138,0.0004748765,0.003008228],"category_scores_gemma":[0.007677076,0.0001960762,0.0004509296,0.0004980963,0.003180675,0.003513213,0.001147949,0.001861339,0.0006100246],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008612527,"about_ca_system_score_gemma":0.0007164621,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005545121,"about_ca_topic_score_gemma":0.0005264104,"domain_scores_codex":[0.9994431,0.0001599939,0.00002702133,0.0001038322,0.0001820948,0.00008390396],"domain_scores_gemma":[0.9967482,0.001526121,0.0004410968,0.0004170239,0.0005558073,0.0003117273],"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":[0.0001781878,0.00003174358,0.001608837,0.0001557172,0.00001385394,0.000164881,0.0003042347,0.01130988,0.01546385,0.9404337,0.002189872,0.02814525],"study_design_scores_gemma":[0.00001583727,0.0002107363,0.003120278,0.00008808033,0.00001774749,0.0007282369,0.0002710026,0.0989404,0.03477225,0.8478031,0.01393738,0.00009490579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7155433,0.002051495,0.1814671,0.002429434,0.0005732283,0.00003017338,0.0002724277,0.0003389126,0.09729391],"genre_scores_gemma":[0.9379266,0.001036467,0.04647614,0.00032146,0.0002711799,0.0000504472,0.000220877,0.0002500636,0.01344683],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003008228,"threshold_uncertainty_score":0.01006347,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02917560129789599,"score_gpt":0.2741520483228698,"score_spread":0.2449764470249738,"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."}}