{"id":"W1053541739","doi":"10.1007/s10986-015-9284-x","title":"On the convolution of the Liouville function under the existence of Siegel zeros","year":2015,"lang":"en","type":"article","venue":"Lithuanian Mathematical Journal","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Arithmetic function; Multiplicity (mathematics); Combinatorics; Number theory; Function (biology); Sequence (biology); Zero (linguistics); Convolution (computer science); Prime (order theory); Discrete mathematics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.002634229,0.0002150175,0.0004238712,0.00004795006,0.0002458562,0.00007598406,0.0007426865,0.0001223047,0.0005273285],"category_scores_gemma":[0.002809747,0.00008485019,0.0003178709,0.0003062079,0.0005209238,0.00009270792,0.0001450396,0.0005947248,0.0000792752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006774944,"about_ca_system_score_gemma":0.000118007,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001900574,"about_ca_topic_score_gemma":0.000002400081,"domain_scores_codex":[0.9971736,0.0003580142,0.000969864,0.0001479905,0.001057084,0.0002934461],"domain_scores_gemma":[0.9952099,0.002734941,0.0007793354,0.0007777826,0.0003490299,0.0001490581],"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":[0.00004485887,0.0003024183,0.00001898608,0.0001174374,0.00007349151,9.795689e-7,0.0008991654,0.00002634438,0.0004216354,0.9951252,0.002847632,0.0001218707],"study_design_scores_gemma":[0.0003476957,0.0001875945,0.000265166,0.0003855145,0.0001178265,0.0001232035,0.002034173,0.008253022,0.0004745215,0.9875913,0.0001150916,0.0001048665],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7500532,0.0001110924,0.2064956,0.007930511,0.0005475503,0.00101467,0.00002419137,0.00003882178,0.03378431],"genre_scores_gemma":[0.9956586,0.000006026927,0.002753756,0.000372075,0.0001117853,0.00001422175,3.611707e-7,0.0000306578,0.00105254],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2456053,"threshold_uncertainty_score":0.5773878,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08457884388672612,"score_gpt":0.2945406206937485,"score_spread":0.2099617768070224,"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."}}