{"id":"W4313363763","doi":"10.15826/umj.2022.2.013","title":"A QUADRUPLE INTEGRAL INVOLVING THE EXPONENTIAL LOGARITHM OF QUOTIENT RADICALS IN TERMS OF THE HURWITZ-LERCH ZETA FUNCTION","year":2022,"lang":"en","type":"article","venue":"Ural mathematical journal","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Quotient; Logarithm; Riemann zeta function; Pure mathematics; Exponential function; Connection (principal bundle); Exponential integral; Digamma function; Mathematical analysis; Arithmetic zeta function; Integral equation; Prime zeta function; Line integral","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":[0.0008364075,0.0008575746,0.0008404264,0.002591561,0.001165394,0.001894348,0.0009324871,0.001170437,0.006324767],"category_scores_gemma":[0.001989332,0.000275407,0.001006356,0.000936832,0.002153327,0.003763593,0.00155007,0.001936757,0.001083344],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008876882,"about_ca_system_score_gemma":0.0006093348,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000450684,"about_ca_topic_score_gemma":0.0005029481,"domain_scores_codex":[0.9996734,0.0000782769,0.00002121779,0.00006845844,0.0001121842,0.00004650606],"domain_scores_gemma":[0.9995679,0.0001040511,0.00005367329,0.00005189598,0.0001048117,0.0001176494],"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":[0.0000163152,0.00002015907,0.0001803827,0.00005006443,0.00001148377,0.0003339726,0.000213479,0.001715999,0.003822157,0.9873012,0.0009380961,0.005396591],"study_design_scores_gemma":[0.00001195582,0.00002365982,0.0002840447,0.00002902325,0.00001468815,0.0005415944,0.00008227328,0.03072025,0.001514145,0.9624715,0.004280403,0.00002659257],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2634161,0.002640766,0.6344162,0.001686921,0.001491662,0.00009083554,0.0002086504,0.0005289068,0.0955199],"genre_scores_gemma":[0.8800535,0.001352214,0.07427749,0.0005318045,0.001032542,0.00009135898,0.0001559711,0.0003905148,0.04211454],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006324767,"threshold_uncertainty_score":0.02115846,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04674566943217622,"score_gpt":0.2897190672099949,"score_spread":0.2429733977778186,"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."}}