{"id":"W2947012397","doi":"10.1093/qmathj/haz043","title":"HIGHER CORRELATIONS AND THE ALTERNATIVE HYPOTHESIS","year":2020,"lang":"en","type":"article","venue":"The Quarterly Journal of Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Counterexample; Riemann zeta function; Riemann hypothesis; Function (biology); Stationary ergodic process; Alternative hypothesis; Ergodic theory","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.007775752,0.0003865243,0.001310653,0.002047141,0.001767169,0.003506476,0.002200129,0.002436134,0.009016027],"category_scores_gemma":[0.03883229,0.0003969269,0.001033109,0.00130955,0.009647023,0.005552476,0.003917228,0.003194034,0.0007220285],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001571919,"about_ca_system_score_gemma":0.0009730722,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001267131,"about_ca_topic_score_gemma":0.000625125,"domain_scores_codex":[0.995153,0.001683581,0.000219791,0.001138127,0.001191366,0.0006141067],"domain_scores_gemma":[0.9587162,0.02285287,0.005929694,0.006289983,0.003562823,0.002648538],"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":[0.00008151744,0.00003075032,0.004690624,0.00003823095,0.00002782069,0.0002390631,0.0001950674,0.003849295,0.000403454,0.9854624,0.001249793,0.0037319],"study_design_scores_gemma":[0.00004751864,0.00008528391,0.003588225,0.00004143353,0.0000169032,0.0003860725,0.0002521691,0.04133271,0.0006676055,0.9518048,0.001724815,0.00005232827],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7333224,0.0009276579,0.2172019,0.01015852,0.0004785773,0.00004881547,0.00044264,0.000281755,0.03713776],"genre_scores_gemma":[0.9923992,0.0001684993,0.004470368,0.0005829983,0.0003121232,0.00003838656,0.0001270974,0.00002887517,0.001872511],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009016027,"threshold_uncertainty_score":0.04112262,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09650276976652356,"score_gpt":0.3244777332547909,"score_spread":0.2279749634882673,"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."}}