{"id":"W2095110712","doi":"10.1112/s002460930300287x","title":"THE MAHLER MEASURE OF POLYNOMIALS WITH ODD COEFFICIENTS","year":2004,"lang":"en","type":"article","venue":"Bulletin of the London Mathematical Society","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; Natural Sciences and Engineering Research Council of Canada","funders":"","keywords":"Mathematics; Measure (data warehouse); Reciprocal; Polynomial; Degree (music); Mathematics Subject Classification; Combinatorics; Value (mathematics); Discrete mathematics; Pure mathematics; Mathematical analysis; Statistics","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":[],"consensus_categories":[],"category_scores_codex":[0.0003206309,0.0001398327,0.0002682193,0.000003326183,0.0002486763,0.00001762575,0.0004272009,0.00003703491,0.0003216451],"category_scores_gemma":[0.00004440919,0.00006478371,0.0003007141,0.0001342493,0.0004101933,0.000009921632,0.0001298139,0.0001410226,0.00003736403],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000277903,"about_ca_system_score_gemma":0.00003363745,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000158023,"about_ca_topic_score_gemma":2.790171e-7,"domain_scores_codex":[0.9989269,0.00002852715,0.0003639172,0.0001391129,0.0003239731,0.0002175969],"domain_scores_gemma":[0.9986676,0.0004117787,0.0002600854,0.0005068936,0.0001021839,0.00005148656],"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":[0.00001958486,0.0003385802,0.00003918613,0.00006896743,0.0001027617,2.928935e-8,0.0003152694,0.0004357066,0.000658715,0.9951044,0.00188991,0.001026895],"study_design_scores_gemma":[0.001237888,0.00006045107,0.00005656789,0.0002912383,0.0001156465,0.000001930718,0.001189047,0.00008058518,0.02726319,0.941986,0.02751846,0.0001990143],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1111901,0.000191702,0.8232043,0.02362883,0.00009006228,0.001913123,0.00009542029,0.00005936176,0.03962708],"genre_scores_gemma":[0.9720579,0.000004733173,0.02534218,0.00009896147,0.00006415786,0.0000679477,0.000001496831,0.00002606885,0.002336575],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8608677,"threshold_uncertainty_score":0.3521788,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.006942754628226487,"score_gpt":0.2261304870787045,"score_spread":0.219187732450478,"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."}}