{"id":"W3186691387","doi":"10.1016/j.jnt.2021.05.015","title":"On the normal number of prime factors of sums of Fourier coefficients of eigenforms","year":2021,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto; Queen's University","funders":"","keywords":"Mathematics; Prime (order theory); Riemann hypothesis; Order (exchange); Prime number; Combinatorics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00556616,0.001869645,0.001925447,0.006053424,0.002828107,0.00685578,0.003044999,0.001875409,0.009438794],"category_scores_gemma":[0.02185982,0.001267293,0.001422067,0.00277786,0.01165638,0.0121125,0.00402402,0.004181884,0.001201613],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002535753,"about_ca_system_score_gemma":0.001176184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001150837,"about_ca_topic_score_gemma":0.001116489,"domain_scores_codex":[0.9973981,0.000891911,0.0001704669,0.000465563,0.0006353293,0.000438648],"domain_scores_gemma":[0.984884,0.009001881,0.001290619,0.0008412127,0.001563502,0.002418657],"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":[0.0002228619,0.00006025595,0.001118328,0.00004921241,0.00002144564,0.0001635491,0.0004581518,0.001370129,0.001255141,0.9878919,0.001154185,0.006234764],"study_design_scores_gemma":[0.00002314143,0.0000290666,0.0005415214,0.00002642597,0.00001685604,0.0001996003,0.0001213239,0.008403428,0.0005428914,0.9889315,0.001135554,0.00002858255],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7554512,0.002214922,0.142563,0.002900007,0.00167721,0.00008567209,0.0002710022,0.0003606348,0.09447629],"genre_scores_gemma":[0.9680646,0.001116307,0.01499068,0.0003191046,0.001108279,0.00007842795,0.0002640827,0.0002621156,0.01379638],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009438794,"threshold_uncertainty_score":0.03157586,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04784847887882523,"score_gpt":0.3506942776404532,"score_spread":0.302845798761628,"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."}}