{"id":"W4413876578","doi":"10.4153/s0008439525100854","title":"Asymptotic formula for shifted convolution sums involving the coefficients of an <i>L</i> -function","year":2025,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"advanced mathematical theories","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Convolution (computer science); Asymptotic formula; Function (biology); Pure mathematics; Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001186968,0.000274332,0.0005181046,0.00019024,0.0003428524,0.00006009462,0.0004596071,0.0001879949,0.0007197245],"category_scores_gemma":[0.00389558,0.0002050735,0.0001712631,0.0003729993,0.0003714216,0.00008081767,0.00006082278,0.0002047283,0.0001777785],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002267214,"about_ca_system_score_gemma":0.0002339208,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000940803,"about_ca_topic_score_gemma":0.0005048685,"domain_scores_codex":[0.9979415,0.0001019192,0.0007595096,0.0003287916,0.0002829012,0.0005853835],"domain_scores_gemma":[0.9958646,0.002643369,0.0001986925,0.0007230974,0.0002931765,0.0002771213],"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":[0.00007780902,0.0001354636,0.000005398337,0.0007341102,0.00005637627,0.000001127106,0.0002699758,0.00001705978,0.0001843711,0.994679,0.003281653,0.0005577096],"study_design_scores_gemma":[0.0008546914,0.0001116625,0.00001936155,0.0003589797,0.0001747408,0.000004937412,0.0006463411,0.004639269,0.001385841,0.9833139,0.008282167,0.0002081492],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1091575,0.0001691116,0.8677449,0.002832055,0.0003405856,0.003073296,0.00008340169,0.0001969482,0.01640217],"genre_scores_gemma":[0.9555709,0.000003922971,0.0400915,0.0009332187,0.00007742407,0.0003655665,0.00003079901,0.00007660125,0.002850082],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8464134,"threshold_uncertainty_score":0.8362655,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02231424518674669,"score_gpt":0.2988564860826731,"score_spread":0.2765422408959264,"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."}}