{"id":"W1997422686","doi":"10.1016/j.jnt.2009.09.004","title":"On a generalization of Chen's iterated integrals","year":2009,"lang":"en","type":"preprint","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Iterated function; Generalization; Pure mathematics; Chen; Multiplicative function; Riemann zeta function; Integer (computer science); Interpolation (computer graphics); Meromorphic function; Algebra over a field; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004680802,0.0003846685,0.001149179,0.0004140493,0.00004428326,0.00007221079,0.0008639833,0.000428894,0.005553308],"category_scores_gemma":[0.003340945,0.0002939435,0.0006265555,0.0002808711,0.0001566483,0.0001115962,0.0002385909,0.001557199,0.00005851723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002496364,"about_ca_system_score_gemma":0.0003742333,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004014826,"about_ca_topic_score_gemma":0.000001270363,"domain_scores_codex":[0.9954621,0.001421511,0.001521134,0.0002593609,0.001021671,0.0003142579],"domain_scores_gemma":[0.9937726,0.001867811,0.002242876,0.0007043206,0.001237285,0.0001750882],"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":[0.001338276,0.0009289458,0.0001390909,0.0005593297,0.00105196,0.0001626477,0.001616303,0.0004055987,0.0005473125,0.9275741,0.06220051,0.003475918],"study_design_scores_gemma":[0.0005969733,0.0001763877,0.00005525571,0.001914664,0.0002384848,0.0001442894,0.0001686488,0.0001981776,0.002271419,0.9935455,0.0004484183,0.0002417574],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8860337,0.0003253897,0.05619722,0.0005513849,0.0009277877,0.0007226993,0.0002151465,0.00007093313,0.0549558],"genre_scores_gemma":[0.9716652,0.0001859442,0.01644536,0.0003611237,0.0008528404,0.000009771544,0.00005527991,0.0001460597,0.01027841],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08563157,"threshold_uncertainty_score":0.9999512,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06248547658717807,"score_gpt":0.3867798840723389,"score_spread":0.3242944074851608,"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."}}