{"id":"W2944944858","doi":"10.3390/axioms8020063","title":"Some New Results Involving the Generalized Bose–Einstein and Fermi–Dirac Functions","year":2019,"lang":"en","type":"article","venue":"Axioms","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Riemann zeta function; Polylogarithm; Mathematical physics; Riemann hypothesis; Mathematics; Pure mathematics; Digamma function; Analytic continuation; Generalization; Dirac (video compression format); Particular values of Riemann zeta function; Fermi–Dirac statistics; Prime zeta function; Arithmetic zeta function; Mathematical analysis; Physics; Quantum mechanics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003068045,0.0001736277,0.0002663108,0.00005974676,0.0001618982,0.0001065639,0.0001989253,0.00007643099,0.0001287888],"category_scores_gemma":[0.0007439457,0.0001191048,0.00007480328,0.0001423648,0.00009396538,0.0003807442,0.0001740922,0.0001748738,0.0004209738],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003823272,"about_ca_system_score_gemma":0.00003777815,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000893129,"about_ca_topic_score_gemma":0.00006130712,"domain_scores_codex":[0.9987725,0.00005575936,0.0003738995,0.0002623793,0.0002591353,0.0002763307],"domain_scores_gemma":[0.9983603,0.0007479203,0.0001404353,0.0006087942,0.00004436396,0.00009814349],"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":[0.00003111448,0.00004300759,0.00001742881,0.0001111769,0.0000507984,0.000004006414,0.00155437,0.00001349573,0.003184194,0.9847716,0.00967678,0.0005420065],"study_design_scores_gemma":[0.001155168,0.00005489559,0.0001457057,0.0001046664,0.00005897377,0.00001798015,0.00101219,0.0009135499,0.00117041,0.9897218,0.005420168,0.00022453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9741198,0.002242167,0.007074199,0.003219407,0.0008568427,0.0009625659,0.00002423384,0.0003764039,0.01112443],"genre_scores_gemma":[0.7132575,0.0002673784,0.008739253,0.0005318725,0.0007167145,0.00004362346,0.00001407398,0.00009707132,0.2763325],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2652081,"threshold_uncertainty_score":0.5410908,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05151121226148574,"score_gpt":0.3036334817379202,"score_spread":0.2521222694764344,"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."}}