{"id":"W2071374310","doi":"10.4153/cmb-2005-030-6","title":"On Non-Vanishing of Convolution of Dirichlet Series","year":2005,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University; University of Lethbridge","funders":"","keywords":"Mathematics; Dirichlet series; General Dirichlet series; Series (stratigraphy); Dirichlet kernel; Convolution (computer science); Class (philosophy); Simple (philosophy); Dirichlet distribution; Line (geometry); Analytic number theory; Pure mathematics; Mathematical analysis; Geometry; Computer science","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":true,"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":["insufficient_payload"],"category_scores_codex":[0.0002871978,0.000154323,0.000393651,0.0001685271,0.00005456849,0.000009494815,0.0001883756,0.0001096249,0.005165974],"category_scores_gemma":[0.001486324,0.0001406147,0.00009525795,0.0001801642,0.0001448512,0.00005130071,0.00002434378,0.0001482928,0.0009212571],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009810296,"about_ca_system_score_gemma":0.00009149077,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004670854,"about_ca_topic_score_gemma":0.0003847733,"domain_scores_codex":[0.9987814,0.00002940042,0.0004792144,0.0001659009,0.0002305416,0.0003135238],"domain_scores_gemma":[0.9985785,0.0005722595,0.0001689799,0.0003372167,0.00009373172,0.0002493148],"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":[0.00001711583,0.0001049684,0.00002844422,0.0003823721,0.0000265961,0.000006087449,0.0003859771,0.0000279917,0.0004246421,0.9835055,0.01410041,0.0009899151],"study_design_scores_gemma":[0.0004028926,0.0001594619,0.0001211678,0.0003925065,0.00004027423,0.00001833834,0.0003434793,0.0002018641,0.009549178,0.9778748,0.01064512,0.000250875],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9312292,0.00006866091,0.01261721,0.003931826,0.00006838315,0.0003845382,0.00006677195,0.00004434233,0.0515891],"genre_scores_gemma":[0.9815197,0.000004068579,0.01643138,0.0002305078,0.00005774096,0.000009826767,0.000003977956,0.00002711292,0.001715702],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05029051,"threshold_uncertainty_score":0.9998567,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01472280078957588,"score_gpt":0.260211121806143,"score_spread":0.2454883210165671,"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."}}