{"id":"W1978063296","doi":"10.1007/s00365-013-9200-8","title":"Wronskians, Cumulants, and the Riemann Hypothesis","year":2013,"lang":"en","type":"article","venue":"Constructive Approximation","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"Sunny Hill Health Centre for Children","funders":"","keywords":"Mathematics; Cumulant; Conjecture; Sign (mathematics); Riemann hypothesis; Set (abstract data type); Resolution (logic); Computation; Pure mathematics; Applied mathematics; Function (biology); Algebra over a field; Combinatorics; Mathematical analysis; Algorithm; Statistics; Computer science","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":[0.003024378,0.0007909969,0.0008888803,0.003442726,0.001520224,0.003072994,0.001433874,0.0009087091,0.004359808],"category_scores_gemma":[0.01535341,0.0003712975,0.0006481372,0.002166032,0.007236473,0.007981226,0.002266813,0.002770823,0.0006395829],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001644977,"about_ca_system_score_gemma":0.0008479074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001750951,"about_ca_topic_score_gemma":0.001196309,"domain_scores_codex":[0.9988148,0.0005264475,0.00005213575,0.0001253998,0.0003616937,0.0001194408],"domain_scores_gemma":[0.9937961,0.003775218,0.0007726066,0.0006706626,0.0005856559,0.0003996062],"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":[0.000007881937,0.000006052046,0.00009433367,0.00001172258,0.000002733829,0.00001087122,0.00004171389,0.0005534788,0.0001105084,0.996906,0.0004206619,0.001834061],"study_design_scores_gemma":[0.000003361567,0.000003740933,0.0001296679,0.000007040641,0.00000223497,0.00002580916,0.00003043375,0.003086291,0.00009385472,0.9955375,0.001074507,0.00000554021],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3730278,0.01800118,0.3921476,0.01306238,0.00133674,0.00004610265,0.0003140337,0.0003373311,0.2017269],"genre_scores_gemma":[0.9512674,0.003481466,0.01958837,0.0005667476,0.001030107,0.00003978632,0.0001554333,0.000105323,0.02376534],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004359808,"threshold_uncertainty_score":0.01599467,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04321002742197056,"score_gpt":0.291043126053894,"score_spread":0.2478330986319234,"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."}}