{"id":"W4362576180","doi":"10.22215/etd/2023-15428","title":"Computing the Zeta Function of the Integral Quaternions","year":2023,"lang":"en","type":"dissertation","venue":"","topic":"advanced mathematical theories","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Quaternion; Riemann zeta function; Mathematics; Prime (order theory); Ideal (ethics); Pure mathematics; Function (biology); Arithmetic zeta function; Ring (chemistry); Algebra over a field; Combinatorics; Geometry","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":[0.0004428045,0.0002157423,0.0003395598,0.00004400691,0.0001937963,0.00002506618,0.0004533461,0.0001473757,0.000114],"category_scores_gemma":[0.001619895,0.00009743452,0.0002459723,0.0002881231,0.0000965598,0.00003772625,0.00009592596,0.0004122539,0.00007022984],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002754443,"about_ca_system_score_gemma":0.00004295502,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002065907,"about_ca_topic_score_gemma":0.0003109817,"domain_scores_codex":[0.9986803,0.00010253,0.0005029938,0.0001767511,0.0003565392,0.0001808675],"domain_scores_gemma":[0.9968511,0.001966528,0.0004241751,0.0005968496,0.0001407328,0.00002062573],"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":[0.00001984099,0.00003237319,0.000008580771,0.0004242506,0.00008631867,1.99274e-7,0.002390157,0.000009597012,0.0001635646,0.9927434,0.001942134,0.002179638],"study_design_scores_gemma":[0.00007395489,0.00001808577,0.0003241197,0.0004133828,0.0001557171,0.000001081222,0.01107277,0.0002751365,0.001954163,0.9853664,0.0002245951,0.000120592],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5536436,0.0001848319,0.212966,0.001232416,0.01203775,0.003909664,0.00006574992,0.001605217,0.2143548],"genre_scores_gemma":[0.7418003,0.00001542893,0.01040394,0.00008727184,0.0003458918,0.00006798097,0.0001198021,0.0002193254,0.24694],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.202562,"threshold_uncertainty_score":0.3973264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05936411386508601,"score_gpt":0.3658472529900495,"score_spread":0.3064831391249635,"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."}}