{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.003767174,0.0002252536,0.0009428496,0.0001296433,0.00004973801,0.00001000769,0.0007082478,0.0001459316,0.01291493],"category_scores_gemma":[0.003512303,0.0001362578,0.0006375351,0.0004925446,0.0005796267,0.0001472368,0.0002034556,0.0005062652,0.00002634295],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006495091,"about_ca_system_score_gemma":0.0004135499,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001238808,"about_ca_topic_score_gemma":0.000003204565,"domain_scores_codex":[0.9957865,0.0006100571,0.001623147,0.0001409224,0.001512604,0.0003267799],"domain_scores_gemma":[0.9907284,0.004982424,0.00202525,0.0007126934,0.001422506,0.0001286946],"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":[0.001955916,0.002786542,0.04760106,0.0009109206,0.002450255,0.00006749234,0.008218834,0.0000746755,0.01170406,0.9173552,0.005477066,0.00139793],"study_design_scores_gemma":[0.001760093,0.0003548645,0.002954382,0.001039399,0.0004007084,0.0002091686,0.007882453,0.00008782871,0.3945249,0.5900789,0.0004387562,0.0002684986],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9698071,0.00003345776,0.002140932,0.00004760841,0.0001504886,0.0001494053,0.0001068674,0.000003979308,0.02756012],"genre_scores_gemma":[0.9954275,0.00001898884,0.00111512,0.00002309122,0.00005215727,0.000001201342,0.000003406704,0.00004107226,0.003317455],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3828208,"threshold_uncertainty_score":0.9879874,"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."}}