{"id":"W1885163905","doi":"10.3968/j.pam.1925252820130601.518","title":"Riemann Hypothesis Elementary Discussion","year":2013,"lang":"en","type":"article","venue":"Progress in applied mathematics","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Prime number theorem; Mathematics; Prime (order theory); Conjecture; Riemann hypothesis; Prime number; Multiplicative number theory; Twin prime; Prime factor; Pure mathematics; Distribution (mathematics); Discrete mathematics; Algebra over a field; Combinatorics; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0006879663,0.0003269351,0.0004815628,0.0001833869,0.000107171,0.00007525202,0.0004461061,0.000149156,0.001633832],"category_scores_gemma":[0.0001332069,0.0002145989,0.00009233242,0.0003861786,0.0001782341,0.0001332532,0.0002229954,0.0002706615,0.0007291745],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006777229,"about_ca_system_score_gemma":0.0000183238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001736703,"about_ca_topic_score_gemma":0.000002168,"domain_scores_codex":[0.9979217,0.00003865608,0.0007139524,0.0003508303,0.000436954,0.0005378759],"domain_scores_gemma":[0.9983332,0.0005927233,0.0002602981,0.0006549008,0.00003417196,0.0001246712],"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":[0.00003333256,0.002302903,0.00261891,0.00164636,0.000124771,0.00001542649,0.004671111,0.00000122058,0.0003528578,0.7939463,0.006510924,0.1877759],"study_design_scores_gemma":[0.0005536131,0.00002576946,0.0003414439,0.0001377205,0.000039542,0.000009518756,0.002436738,0.0002766793,0.003569407,0.9917992,0.0004607753,0.0003495326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9063628,0.000343186,0.008927842,0.001984039,0.0002919401,0.00441803,0.00001322232,0.0007533713,0.07690559],"genre_scores_gemma":[0.663423,0.00001234119,0.3347189,0.0001088444,0.00008524068,0.000909714,0.000005978998,0.00007598051,0.0006600074],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.325791,"threshold_uncertainty_score":0.9992788,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02768632932312374,"score_gpt":0.2786941962854644,"score_spread":0.2510078669623407,"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."}}