{"id":"W3009824061","doi":"10.1112/tlm3.12030","title":"The first moment of primes in arithmetic progressions: beyond the Siegel–Walfisz range","year":2021,"lang":"en","type":"article","venue":"Transactions of the London Mathematical Society","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Ottawa","keywords":"Moment (physics); Range (aeronautics); Term (time); Dispersion (optics); Second moment of area; Moment problem","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.002516778,0.0004305156,0.00078946,0.002944764,0.0007920366,0.001935296,0.001134605,0.0008600021,0.003799065],"category_scores_gemma":[0.02086036,0.0003701434,0.0005145258,0.0008744764,0.004069355,0.004832303,0.001929478,0.002083027,0.0004298974],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001017664,"about_ca_system_score_gemma":0.0004726631,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000458402,"about_ca_topic_score_gemma":0.0002164918,"domain_scores_codex":[0.9995742,0.0001376533,0.00001494347,0.00007697035,0.0001113448,0.00008496415],"domain_scores_gemma":[0.9918296,0.005281649,0.001008434,0.0005393738,0.0005636849,0.0007772836],"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":[0.0001172536,0.00001847721,0.0008715892,0.0001195617,0.000009947063,0.0002424878,0.0004022419,0.01103716,0.004551709,0.9768788,0.0006497422,0.005100902],"study_design_scores_gemma":[0.00002234916,0.00008337515,0.002010982,0.000118486,0.00001589415,0.0005563212,0.0001660518,0.08190686,0.004247176,0.9089828,0.001828402,0.00006140087],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.783645,0.004141784,0.172219,0.003301092,0.0002158643,0.00003691126,0.0001693416,0.0005298951,0.03574107],"genre_scores_gemma":[0.9909241,0.0006071157,0.005732179,0.00007786891,0.000147089,0.00001923446,0.0000287921,0.00006232929,0.002401452],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003799065,"threshold_uncertainty_score":0.01331013,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03091265910275499,"score_gpt":0.3196273079819774,"score_spread":0.2887146488792224,"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."}}