{"id":"W2022319690","doi":"10.1007/s10474-013-0357-1","title":"The Gauss–Wilson theorem for quarter-intervals","year":2013,"lang":"en","type":"article","venue":"Acta Mathematica Academiae Scientiarum Hungaricae","topic":"Numerical Methods and Algorithms","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Combinatorics; Gauss; Multiplicative function; Product (mathematics); Quadratic Gauss sum; Prime power; Gauss sum; Discrete mathematics; Order (exchange); Prime (order theory); Factorial; Integer (computer science); Mathematical analysis; Geometry","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":["scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.003182723,0.0003467612,0.0004407477,0.0001190159,0.001019677,0.001369483,0.003896615,0.0002094637,0.00009621281],"category_scores_gemma":[0.001146797,0.0002039776,0.0003303888,0.000821107,0.0003632926,0.001167043,0.0006843137,0.0005329403,0.0004804978],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005543668,"about_ca_system_score_gemma":0.00006205383,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006524942,"about_ca_topic_score_gemma":5.595002e-7,"domain_scores_codex":[0.9962609,0.0002809814,0.0007672629,0.00081774,0.0007423853,0.001130756],"domain_scores_gemma":[0.9951302,0.002540047,0.0003813933,0.001369587,0.0002241104,0.0003545985],"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":[0.00000654881,0.0001900005,0.00001882443,0.0000857846,0.00008940701,0.000001372871,0.001266381,0.000001266239,0.01219438,0.6287606,0.1520899,0.2052955],"study_design_scores_gemma":[0.0004071619,0.0002025633,0.0003502403,0.00008174362,0.00003348775,0.00002740964,0.0002782898,0.1617938,0.006639869,0.7382256,0.09145115,0.000508762],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.001779986,0.0001840022,0.9448172,0.04639177,0.001127262,0.001308134,0.000006614852,0.0003122683,0.004072761],"genre_scores_gemma":[0.1766932,0.00006519564,0.8145165,0.001908156,0.0003325779,0.0009018668,0.000003180869,0.00005880121,0.005520493],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2047868,"threshold_uncertainty_score":0.9996672,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01927580736499176,"score_gpt":0.2905585914603381,"score_spread":0.2712827840953463,"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."}}