{"id":"W2963377168","doi":"10.1016/j.jfa.2016.04.008","title":"On the Hardy–Littlewood majorant problem for arithmetic sets","year":2016,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Limits and Structures in Graph Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Infimum and supremum; Combinatorics; Class (philosophy); Constant (computer programming); Arithmetic; Discrete mathematics","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":[0.001231259,0.0001290655,0.0003349023,0.0003177609,0.0002440829,0.00002902578,0.000207312,0.00005762286,0.0007420229],"category_scores_gemma":[0.0007257937,0.00005059918,0.0008487608,0.0003647536,0.00007182124,0.00008091586,0.00002614007,0.0001332028,0.000005177175],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005268839,"about_ca_system_score_gemma":0.00003858453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.755621e-7,"about_ca_topic_score_gemma":0.000002995245,"domain_scores_codex":[0.9986193,0.0001006816,0.0004945422,0.0001251896,0.0004980567,0.0001623005],"domain_scores_gemma":[0.9962645,0.002567124,0.0004715454,0.0002187363,0.0004097021,0.00006835813],"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":[0.0004744713,0.0001497762,0.0007093129,0.00002423127,0.005547115,0.000005565217,0.0001246233,0.0002339236,0.0006521631,0.9678766,0.02064646,0.003555764],"study_design_scores_gemma":[0.0005567114,0.0001957612,0.002272179,0.00003507305,0.001902728,0.00003299969,0.00004637404,0.0001718989,0.0003078874,0.9916883,0.00269683,0.00009327395],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5331326,0.0002506721,0.4418277,0.02000679,0.001099279,0.0004394332,0.0001581401,0.00003268803,0.003052736],"genre_scores_gemma":[0.9924493,0.00001785813,0.005388391,0.0003875285,0.0003054207,0.00001068867,0.000001417583,0.00001398462,0.001425447],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4593166,"threshold_uncertainty_score":0.812463,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04172163314240843,"score_gpt":0.2810188145212588,"score_spread":0.2392971813788504,"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."}}