{"id":"W2486108263","doi":"10.1017/cbo9780511751684.018","title":"Sums of integers of the form <i>x</i><sup>2</sup> + <i>xy</i> + <i>y</i><sup>2</sup>","year":2010,"lang":"he","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Combinatorics","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":[0.0006857524,0.001089343,0.001041949,0.002745331,0.001295365,0.003687406,0.0008298304,0.0004221912,0.03129189],"category_scores_gemma":[0.003435507,0.0004603268,0.0006221593,0.002673418,0.001552836,0.005746897,0.001737038,0.00166141,0.009599854],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005659636,"about_ca_system_score_gemma":0.0004908707,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001930894,"about_ca_topic_score_gemma":0.0004923975,"domain_scores_codex":[0.9993247,0.0001020244,0.00007100261,0.0001343688,0.0002885052,0.00007942805],"domain_scores_gemma":[0.9990772,0.0004061517,0.000103308,0.0001054833,0.000212165,0.00009580845],"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":[0.0002211799,0.0000337535,0.0005275788,0.000661786,0.000056039,0.0003181729,0.0006124616,0.0008753135,0.005254932,0.7895423,0.05027853,0.151618],"study_design_scores_gemma":[0.00002965402,0.0001018545,0.001461677,0.0003211691,0.00007686858,0.002581721,0.0003594176,0.001821766,0.00540828,0.599269,0.3885019,0.00006656711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.03467047,0.013891,0.1095843,0.001390082,0.005505215,0.0001320625,0.001319942,0.0006170513,0.8328899],"genre_scores_gemma":[0.2766686,0.01392886,0.09405465,0.001127655,0.004071862,0.000385194,0.002349743,0.0009611179,0.6064523],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.03129189,"threshold_uncertainty_score":0.1046818,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03078712618342938,"score_gpt":0.2406688938358939,"score_spread":0.2098817676524646,"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."}}