{"id":"W2108209903","doi":"10.1007/s00026-008-0333-6","title":"Non-Holonomicity of Sequences Defined via Elementary Functions","year":2008,"lang":"en","type":"article","venue":"Annals of Combinatorics","topic":"Mathematics and Applications","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University","funders":"","keywords":"Mathematics; Sequence (biology); Logarithm; Riemann hypothesis; Elementary function; Riemann zeta function; Bounded function; Integer (computer science); Holonomic; Elementary proof; Function (biology); Combinatorics; Digamma function; Pure mathematics; Discrete mathematics; Arithmetic zeta function; Prime zeta function; 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":[],"consensus_categories":[],"category_scores_codex":[0.0002243881,0.0001031343,0.0002769831,0.00007280669,0.00009697321,0.000003061978,0.0002030896,0.00005103787,0.00009170441],"category_scores_gemma":[0.00008246043,0.00009849983,0.0001093558,0.0002418189,0.0001008917,0.0000586757,0.000051439,0.00007297653,0.0000224046],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008832394,"about_ca_system_score_gemma":0.00005891114,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007985904,"about_ca_topic_score_gemma":0.000003113987,"domain_scores_codex":[0.9990724,0.0000146866,0.0004591199,0.0001172944,0.0001963926,0.0001401052],"domain_scores_gemma":[0.9987927,0.0002178515,0.0003326137,0.0003597422,0.0002416636,0.00005543217],"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":[0.0000260567,0.002433673,0.007377654,0.0004776598,0.0002047365,0.000004755681,0.001290139,0.00001646241,0.004613619,0.8444599,0.1387368,0.0003585366],"study_design_scores_gemma":[0.0002724117,0.0002017307,0.0009834713,0.00003161353,0.00003422405,0.00001205082,0.0001327415,0.0002537401,0.04967022,0.945752,0.002513895,0.0001419379],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9868516,0.00005361385,0.003891446,0.0004513889,0.00007147845,0.0002094695,0.00002349797,0.00002459503,0.008422876],"genre_scores_gemma":[0.996753,0.0001288963,0.002518303,0.00006897074,0.00001362554,0.00002341732,0.000008150286,0.00001261296,0.0004730325],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1362229,"threshold_uncertainty_score":0.4016707,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1311582204646849,"score_gpt":0.3472170242457934,"score_spread":0.2160588037811085,"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."}}