{"id":"W1966407796","doi":"10.1155/2011/985323","title":"Fundamental Domains of Gamma and Zeta Functions","year":2011,"lang":"en","type":"article","venue":"International Journal of Mathematics and Mathematical Sciences","topic":"Advanced Theoretical and Applied Studies in Material Sciences and Geometry","field":"Engineering","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Conformal map; Riemann zeta function; Riemann hypothesis; Complex plane; Euler's formula; Analytic continuation; Plane (geometry); Pure mathematics; Order (exchange); Riemann surface; Geometric function theory; Mathematical analysis; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004913693,0.0007877984,0.0003727793,0.002864255,0.0008871128,0.002797611,0.0005403924,0.0007157555,0.00370057],"category_scores_gemma":[0.002439206,0.0003006593,0.0004079119,0.0008198583,0.002220775,0.002133742,0.001825827,0.001121982,0.0005740402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00124091,"about_ca_system_score_gemma":0.0004493861,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005485618,"about_ca_topic_score_gemma":0.0002408821,"domain_scores_codex":[0.9997492,0.00005174841,0.000007830736,0.00004706645,0.0000719959,0.00007208061],"domain_scores_gemma":[0.9993166,0.0001915914,0.000128803,0.00004895882,0.0001129311,0.0002011598],"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":[0.00003450748,0.00001111092,0.0006958741,0.00003397716,0.00000470529,0.0001771986,0.0002826529,0.001842625,0.002294315,0.9892188,0.000505835,0.004898421],"study_design_scores_gemma":[0.00001862534,0.00003381269,0.00168547,0.0000555939,0.000009161065,0.0007464624,0.0004783916,0.02368965,0.002287004,0.9644622,0.006512081,0.0000214872],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8333303,0.00268261,0.06127771,0.0008985121,0.0001705635,0.00004601357,0.0002156151,0.000111475,0.1012672],"genre_scores_gemma":[0.9869382,0.0006445131,0.004552152,0.000043018,0.00008317369,0.00002792031,0.0001233794,0.00002737901,0.007560249],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00370057,"threshold_uncertainty_score":0.01237971,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01980535584932372,"score_gpt":0.2517538372797531,"score_spread":0.2319484814304294,"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."}}