{"id":"W2320405581","doi":"10.1016/j.jnt.2006.10.004","title":"Evaluation of the convolution sums <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:msub><mml:mo>∑</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>+</mml:mo><mml:mn>6</mml:mn><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mi>σ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>l</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math> and <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si2.gif\" overflow=\"scroll\"><mml:msub><mml:mo>∑</mml:mo><mml:mrow><mml:mn>2</mml:mn><mml:mi>l</mml:mi><mml:mo>+</mml:mo><mml:mn>3</mml:mn><mml:mi>m</mml:mi><mml:mo>=</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msub><mml:mi>σ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>l</mml:mi><mml:mo stretchy=\"false\">)</mml:mo><mml:mi>σ</mml:mi><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:math>","year":2006,"lang":"lv","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":40,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Scroll; Mathematics; Algorithm; Computer science; Engineering","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":[0.002306862,0.001674471,0.001255634,0.001557411,0.001125548,0.003594403,0.001889493,0.001226735,0.05377394],"category_scores_gemma":[0.01286961,0.0004282481,0.001355313,0.001361311,0.0009372436,0.003042642,0.002149235,0.001395065,0.01329534],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002081776,"about_ca_system_score_gemma":0.002820967,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007315441,"about_ca_topic_score_gemma":0.01144351,"domain_scores_codex":[0.9976826,0.000309242,0.0001736541,0.0002375277,0.001219619,0.0003773205],"domain_scores_gemma":[0.9954669,0.001597031,0.0001900346,0.0005492613,0.00192927,0.0002674337],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.003656274,0.000443686,0.01026993,0.002138983,0.0004595395,0.001676972,0.0007972856,0.1233851,0.04862178,0.09794714,0.128214,0.5823893],"study_design_scores_gemma":[0.0001763654,0.0003862943,0.006869508,0.0002909196,0.0001846551,0.001062466,0.0007896982,0.7913312,0.1050566,0.04086594,0.05284264,0.0001438111],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1368141,0.002452228,0.6850846,0.002196938,0.00197688,0.0002414026,0.004223228,0.02323771,0.143773],"genre_scores_gemma":[0.5272449,0.0007915293,0.4005625,0.0006266716,0.0002367321,0.0002636126,0.008800513,0.008858332,0.05261522],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05377394,"threshold_uncertainty_score":0.1798918,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02394879045885574,"score_gpt":0.264800656817557,"score_spread":0.2408518663587013,"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."}}