{"id":"W2487818481","doi":"10.5539/jmr.v8n4p1","title":"Key Role of Dimensional Analysis Homogeneity in Proving Riemann Hypothesis and Providing Explanations on the Closely Related Gram Points","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Riemann hypothesis; Conjecture; Riemann zeta function; Sigma; Homogeneity (statistics); Riemann Xi function; Pure mathematics; Analytic number theory; Function (biology); The Imaginary; Mathematical analysis; Discrete mathematics; Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003994596,0.0006463705,0.0007709493,0.002363195,0.001998805,0.003504148,0.001159721,0.001103125,0.005253551],"category_scores_gemma":[0.01059902,0.0003084645,0.0009354376,0.00109085,0.01163828,0.00699997,0.003964567,0.003198359,0.001766648],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002149724,"about_ca_system_score_gemma":0.0009180225,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008108852,"about_ca_topic_score_gemma":0.000428136,"domain_scores_codex":[0.9975812,0.001228449,0.0001335753,0.0004270385,0.0004714075,0.0001583501],"domain_scores_gemma":[0.9937646,0.003420518,0.0006859103,0.001213698,0.0006721775,0.0002430843],"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":[0.00001169784,0.000007916762,0.0004034056,0.00003322032,0.000004380319,0.00008146701,0.0004214669,0.0004058296,0.0006443769,0.9926812,0.0009708701,0.004334168],"study_design_scores_gemma":[0.000006223401,0.00003041517,0.0006478204,0.00004474439,0.00001046579,0.0001780761,0.0002220839,0.003384663,0.002317857,0.9752592,0.01787194,0.00002640549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06231379,0.003404261,0.7676474,0.01208399,0.001050603,0.0001395523,0.0004489977,0.0005910528,0.1523202],"genre_scores_gemma":[0.8156348,0.002091218,0.1609984,0.00190158,0.001872884,0.000188998,0.0002668351,0.0003156796,0.01672974],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005253551,"threshold_uncertainty_score":0.02112573,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.137495288112696,"score_gpt":0.3834460970658368,"score_spread":0.2459508089531409,"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."}}