{"id":"W2054384161","doi":"10.4064/aa123-2-5","title":"On the number of integers represented by systems of Abelian norm forms","year":2006,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Aurora College; University of Toronto","funders":"","keywords":"Mathematics; Abelian group; Norm (philosophy); Pure mathematics; Algebra over a field","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002431395,0.0006971948,0.0008519077,0.003176681,0.002490843,0.006126978,0.001732988,0.001614156,0.007912844],"category_scores_gemma":[0.01192757,0.0003784123,0.0004947749,0.001883008,0.006425395,0.008144102,0.002359349,0.002086048,0.0006528937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001433699,"about_ca_system_score_gemma":0.0007246748,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004282064,"about_ca_topic_score_gemma":0.0004425525,"domain_scores_codex":[0.9985423,0.0005408615,0.00009216001,0.0002164112,0.0003596547,0.0002487362],"domain_scores_gemma":[0.9918276,0.005262048,0.001063384,0.0004463958,0.0006867106,0.0007138951],"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":[0.0001208661,0.00001523945,0.0004254341,0.0000322358,0.000006218899,0.00003589955,0.0001860613,0.0008424499,0.0005226587,0.9933136,0.000673841,0.003825453],"study_design_scores_gemma":[0.00002103945,0.00002006633,0.0002967982,0.00001949349,0.000009887197,0.00009695864,0.0001338396,0.004796063,0.0004742002,0.9925466,0.001569589,0.00001542722],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8281825,0.001255073,0.05896546,0.004440659,0.0008092519,0.00005333116,0.0003606847,0.000215096,0.1057178],"genre_scores_gemma":[0.9792813,0.0004890395,0.010847,0.0002188246,0.0004808166,0.00007896801,0.0002313278,0.000050477,0.008322182],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007912844,"threshold_uncertainty_score":0.02647108,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02648636760733062,"score_gpt":0.3214157156034311,"score_spread":0.2949293479961004,"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."}}