{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005919947,0.0004503789,0.0006658841,0.001885067,0.001021563,0.001660017,0.0008071105,0.0003158793,0.007714806],"category_scores_gemma":[0.001457653,0.0001982012,0.0006224218,0.0008043944,0.001104895,0.002211373,0.001560836,0.000966431,0.001732701],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001004927,"about_ca_system_score_gemma":0.0006708641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006183076,"about_ca_topic_score_gemma":0.0008769103,"domain_scores_codex":[0.9992884,0.0001063623,0.00005023457,0.0001344056,0.0003314897,0.00008911396],"domain_scores_gemma":[0.9995561,0.0000735044,0.00004708348,0.0000777638,0.0001594896,0.00008610755],"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":[0.0000203583,0.000014654,0.0002561698,0.00004218539,0.000009942267,0.0002050502,0.0001184637,0.00189108,0.0019306,0.9789907,0.002014603,0.01450616],"study_design_scores_gemma":[0.000006325502,0.00004280762,0.0005224409,0.00002146168,0.00001569567,0.0004893959,0.00005691139,0.01914223,0.002387878,0.9549892,0.02230135,0.00002429109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.316865,0.002120491,0.2829,0.001031422,0.001641131,0.00008062836,0.00055919,0.0005479603,0.3942543],"genre_scores_gemma":[0.898477,0.0009252461,0.03604684,0.0004475949,0.0007685091,0.00006677454,0.0003621525,0.0003056215,0.0626003],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007714806,"threshold_uncertainty_score":0.02580863,"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."}}