{"id":"W2608518335","doi":"10.1007/s11139-017-9890-9","title":"Derivatives and fast evaluation of the Tornheim zeta function","year":2017,"lang":"en","type":"article","venue":"The Ramanujan Journal","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Identity (music); Analytic continuation; Permutation (music); Function (biology); Mathematics; Riemann zeta function; Continuation; Pure mathematics; Applied mathematics; Combinatorics; Mathematical physics; Mathematical analysis; Physics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001894411,0.00009073433,0.0001495264,0.00002183338,0.000870008,0.0001755439,0.0003940449,0.00003096206,0.000115635],"category_scores_gemma":[0.002199257,0.00004516817,0.00007002451,0.00002561339,0.0003564232,0.0003240673,0.0001522348,0.0002145141,0.000004263929],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003141965,"about_ca_system_score_gemma":0.00003848226,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000178696,"about_ca_topic_score_gemma":0.00001249336,"domain_scores_codex":[0.9988171,0.000204305,0.0002598705,0.00007363267,0.0005242395,0.0001208072],"domain_scores_gemma":[0.9983805,0.0002587962,0.0005921757,0.0005056966,0.0002285691,0.00003429125],"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":[0.0002143786,0.0003828548,0.004866097,0.0004565353,0.000888031,0.000004132286,0.02115967,0.0002317448,0.01483397,0.8480891,0.007801218,0.1010723],"study_design_scores_gemma":[0.0003857815,0.00002918086,0.01886789,0.0001208202,0.0002255908,0.00006231318,0.001324876,0.0007240417,0.001784655,0.9763291,0.00008825779,0.00005748721],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9808892,0.0002396676,0.009798621,0.00133862,0.0003989355,0.0002794316,0.000001923233,0.00001100179,0.007042592],"genre_scores_gemma":[0.9976029,0.00002206419,0.001043614,0.0000156523,0.0001696122,0.000005400599,9.115591e-8,0.00001196631,0.001128645],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.12824,"threshold_uncertainty_score":0.6691486,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1480749619896406,"score_gpt":0.3862555681557958,"score_spread":0.2381806061661552,"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."}}