{"id":"W7117455660","doi":"10.1016/j.jnt.2025.11.014","title":"A triple convolution sum of the divisor function","year":2025,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"Science and Engineering Research Board; Natural Sciences and Engineering Research Council of Canada; Indian Institute of Technology Delhi; Arthritis National Research Foundation","keywords":"Divisor function; Upper and lower bounds; Conjecture; Order (exchange); Algebraic number; Asymptotic formula; Constant (computer programming); Divisor (algebraic geometry)","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001335197,0.000878432,0.001437672,0.00297918,0.002263536,0.003639934,0.001346009,0.001463556,0.009384666],"category_scores_gemma":[0.00375194,0.0005002994,0.001186649,0.00151583,0.002415946,0.004834041,0.002249517,0.002282823,0.001646812],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001717645,"about_ca_system_score_gemma":0.0009017728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006376675,"about_ca_topic_score_gemma":0.0005433278,"domain_scores_codex":[0.9990897,0.0001673332,0.00005050436,0.0001953721,0.0003508792,0.0001462452],"domain_scores_gemma":[0.9982703,0.0004300044,0.000160564,0.000182648,0.0004542475,0.0005023279],"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":[0.00004248713,0.00001799816,0.0003195085,0.0000410059,0.00001398379,0.0002458201,0.0001203489,0.0005076734,0.001940435,0.9883484,0.00155512,0.00684727],"study_design_scores_gemma":[0.00001036104,0.0000379261,0.0006842162,0.00002830334,0.00002669384,0.001253296,0.00008407929,0.01842129,0.002457071,0.9694354,0.007520474,0.00004088804],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3638568,0.002290503,0.436059,0.001737915,0.002483888,0.00006650176,0.0003297882,0.0006427062,0.1925329],"genre_scores_gemma":[0.8918306,0.0008800467,0.04831532,0.0005151808,0.001182087,0.00006855792,0.0003405417,0.0004316859,0.05643602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009384666,"threshold_uncertainty_score":0.03139484,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03433661196966831,"score_gpt":0.3386014713043291,"score_spread":0.3042648593346608,"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."}}