{"id":"W2792707245","doi":"10.1016/j.jnt.2018.01.001","title":"Explicit bounds for L-functions on the edge of the critical strip","year":2018,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Ramanujan's sum; Conjecture; Combinatorics; Class (philosophy); Automorphic form; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.004321858,0.0001410345,0.0003009778,0.00006272499,0.0003507239,0.00004609118,0.0007470081,0.00008784777,0.004617528],"category_scores_gemma":[0.01054667,0.00006920448,0.0004293224,0.0002431917,0.0007549212,0.0001031163,0.0001078812,0.0004743767,0.00009905865],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008231595,"about_ca_system_score_gemma":0.0001886411,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000124373,"about_ca_topic_score_gemma":0.000003291195,"domain_scores_codex":[0.9977921,0.0005953989,0.0005957556,0.0001176974,0.0006012673,0.0002977544],"domain_scores_gemma":[0.9855905,0.01254145,0.000346019,0.000594244,0.0008308748,0.0000968699],"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":[0.0003713097,0.0002507715,0.0001436464,0.0000333784,0.000159222,0.0000017593,0.0005558907,3.399168e-7,0.0003044559,0.8611594,0.1366127,0.0004070949],"study_design_scores_gemma":[0.0004090955,0.0002863964,0.0001521566,0.0001734536,0.0001501365,0.0001140593,0.001978343,0.00005688858,0.002088656,0.9740027,0.02050534,0.00008278617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6493024,0.0001027388,0.1187283,0.01805041,0.003346881,0.001363784,0.000348311,0.00005183536,0.2087054],"genre_scores_gemma":[0.9874883,0.000002690162,0.0008008048,0.0004269762,0.001109626,0.00001521941,4.135509e-7,0.00003729657,0.01011867],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.338186,"threshold_uncertainty_score":0.9977879,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1010351143244555,"score_gpt":0.4030972885314855,"score_spread":0.30206217420703,"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."}}