{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003644735,0.0004514775,0.001105015,0.00009505616,0.0003334843,0.000102559,0.001230768,0.0002039456,0.00002870166],"category_scores_gemma":[0.005617454,0.000255915,0.0005173891,0.0003428124,0.0003447834,0.0003886199,0.0002240294,0.0006779185,0.0000517368],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001412654,"about_ca_system_score_gemma":0.0001600028,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001810085,"about_ca_topic_score_gemma":0.000002429528,"domain_scores_codex":[0.9952465,0.0003036124,0.002391471,0.0001605764,0.001178915,0.0007188727],"domain_scores_gemma":[0.9830399,0.01152223,0.003401601,0.00117622,0.0005940904,0.0002659133],"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":[0.000272544,0.004564745,0.001245732,0.001207156,0.002547366,0.00002702156,0.06384536,0.00002922989,0.3895463,0.5110422,0.01562022,0.01005208],"study_design_scores_gemma":[0.001033307,0.0001476795,0.00009621646,0.0005980488,0.0005351357,0.0001956263,0.01695482,0.000070448,0.2606468,0.7184318,0.0009407857,0.0003492461],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9582344,0.002856999,0.03335343,0.0005454946,0.00248229,0.0007211321,0.0000428497,0.00005602544,0.001707374],"genre_scores_gemma":[0.9668453,0.0004752519,0.03150303,0.00002745319,0.0009747324,0.000016681,0.000001295241,0.000108863,0.0000474082],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2073896,"threshold_uncertainty_score":0.9999893,"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."}}