{"id":"W4292315217","doi":"10.3934/math.20221021","title":"Extended Prudnikov sum","year":2022,"lang":"en","type":"article","venue":"AIMS Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Trigonometry; Arithmetic zeta function; Bernoulli polynomials; Pure mathematics; Riemann zeta function; Polylogarithm; Trigonometric functions; Prime zeta 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":[0.001155409,0.0002819768,0.0005205716,0.000150634,0.0005836808,0.00006285585,0.0004952933,0.00006821028,0.01054379],"category_scores_gemma":[0.0006745741,0.0002516955,0.0002300472,0.0004012776,0.00006933955,0.00009785392,0.0004027784,0.0003743235,0.0003218606],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001191621,"about_ca_system_score_gemma":0.00007229003,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000578967,"about_ca_topic_score_gemma":0.000002719026,"domain_scores_codex":[0.9976391,0.0001268597,0.0007580076,0.000313127,0.0006867779,0.0004761155],"domain_scores_gemma":[0.9973088,0.001241046,0.0002954505,0.000934688,0.00006701106,0.0001530334],"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":[0.00001186446,0.001137569,0.00001596432,0.000319743,0.00008209157,0.00001748756,0.001704739,0.000009084242,0.0005159787,0.9080085,0.08718207,0.0009949112],"study_design_scores_gemma":[0.0004503349,0.0001682062,0.00001261531,0.00002938421,0.0001100273,0.0001660463,0.001681958,0.002085507,0.0006748331,0.9389306,0.05530408,0.000386382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4456487,0.0004644049,0.1146487,0.00374108,0.003131453,0.003932563,0.0003255463,0.002365578,0.425742],"genre_scores_gemma":[0.5876105,0.00002744056,0.3241998,0.001162398,0.0005941353,0.001441063,0.00004733721,0.0003538111,0.08456346],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3411786,"threshold_uncertainty_score":0.9999935,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05459250669379997,"score_gpt":0.3116308967979006,"score_spread":0.2570383901041007,"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."}}