{"id":"W2026541554","doi":"10.1016/j.jnt.2007.02.010","title":"On the Littlewood cyclotomic polynomials","year":2007,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Simon Fraser University; University of British Columbia","funders":"","keywords":"Cyclotomic polynomial; Mathematics; Monic polynomial; Degree (music); Combinatorics; Conjecture; Polynomial; Integer (computer science); Cyclotomic field; Prime (order theory); Reciprocal polynomial; Ramanujan's sum; Discrete mathematics; Matrix polynomial; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007781138,0.0007346229,0.0006309442,0.002442737,0.001536635,0.002015766,0.0006867317,0.0008621205,0.007783228],"category_scores_gemma":[0.003285252,0.0002884565,0.0004126421,0.001900129,0.00346214,0.002809619,0.001616888,0.002978849,0.001225297],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001597493,"about_ca_system_score_gemma":0.0007679434,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001567948,"about_ca_topic_score_gemma":0.001285109,"domain_scores_codex":[0.9996376,0.00008276464,0.00001068383,0.00005210277,0.0001308257,0.00008595678],"domain_scores_gemma":[0.999138,0.0003826144,0.0001129628,0.00008815224,0.0001331678,0.0001451331],"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":[0.00002269267,0.000006972939,0.00007972227,0.00001351658,0.000001363767,0.00003187919,0.00009585392,0.000447541,0.000273903,0.9933129,0.001062002,0.004651567],"study_design_scores_gemma":[0.000008808422,0.000009265394,0.0001720212,0.00001063485,0.000002326237,0.00005568081,0.00003345154,0.00157512,0.0001586368,0.9951592,0.002807925,0.000007008903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4201627,0.004981447,0.08208067,0.008462922,0.002738482,0.00005726938,0.0003548208,0.0002616714,0.4808999],"genre_scores_gemma":[0.9358833,0.002568831,0.008487367,0.001016313,0.002114845,0.00004680864,0.0001391145,0.00008036762,0.04966305],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007783228,"threshold_uncertainty_score":0.02603751,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03738550333793101,"score_gpt":0.3498876841669102,"score_spread":0.3125021808289792,"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."}}