{"id":"W2187333227","doi":"","title":"Reducibility and irreducibility of Stern $(0,1)$-polynomials","year":2014,"lang":"en","type":"article","venue":"Czech digital mathematics library","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Irreducibility; Mathematics; Stern; Combinatorics; Simple (philosophy); Orthogonal polynomials; Sequence (biology); Polynomial; Classical orthogonal polynomials; Difference polynomials; Pure mathematics; Discrete mathematics; Mathematical analysis; Chemistry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007273667,0.0004305034,0.001016625,0.0001372409,0.00007823412,0.0002080342,0.0005717737,0.0002010602,0.00006853143],"category_scores_gemma":[0.004266526,0.0003816492,0.0001900996,0.0003031091,0.0004027425,0.001650994,0.0006207409,0.0002361361,0.00002534553],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002501402,"about_ca_system_score_gemma":0.00007130893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.020878e-7,"about_ca_topic_score_gemma":1.803894e-7,"domain_scores_codex":[0.9970472,0.00008908643,0.001336593,0.0006483087,0.0004568725,0.0004219148],"domain_scores_gemma":[0.9943678,0.002800848,0.00067269,0.001820581,0.00008669587,0.0002514126],"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":[0.0000499873,0.001489274,0.001455868,0.003880711,0.0000943087,0.000002910392,0.001532633,0.000001683783,0.001384858,0.9796504,0.001263749,0.009193553],"study_design_scores_gemma":[0.0005290745,0.0001609826,0.0001515617,0.0002728569,0.0000465442,0.00002358768,0.0002602959,0.0005371286,0.01683848,0.9803133,0.0004971577,0.0003690303],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9438655,0.00009839867,0.01343074,0.0001386447,0.0003013667,0.0008018614,0.00009058776,0.0004559444,0.0408169],"genre_scores_gemma":[0.9059194,0.00001030132,0.09284975,0.00002918626,0.0001268278,0.0000289206,0.00001089966,0.0001148185,0.0009098506],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.07941902,"threshold_uncertainty_score":0.9998636,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02796907298758774,"score_gpt":0.2746626067097359,"score_spread":0.2466935337221481,"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."}}