{"id":"W2396144212","doi":"10.1090/proc/13635","title":"An irreducibility criterion for power series","year":2017,"lang":"en","type":"preprint","venue":"Proceedings of the American Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences; University of Toronto","funders":"Agence Nationale de la Recherche","keywords":"Irreducibility; Series (stratigraphy); Mathematics; Power (physics); Power series; Pure mathematics; Mathematical analysis; Physics; Geology; Thermodynamics","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":[0.001989203,0.0008058705,0.000920607,0.003324538,0.002368107,0.002810978,0.001178102,0.001300815,0.008426398],"category_scores_gemma":[0.008262496,0.0004186941,0.001577623,0.001250099,0.004448713,0.006878948,0.003738427,0.004722135,0.001099322],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00122062,"about_ca_system_score_gemma":0.0005772015,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004082262,"about_ca_topic_score_gemma":0.0003687824,"domain_scores_codex":[0.9985318,0.0002425283,0.00009123775,0.0002956309,0.0005786627,0.0002601585],"domain_scores_gemma":[0.9943085,0.002706779,0.0005588997,0.0006370074,0.001161934,0.0006269003],"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":[0.000009643483,0.00001563722,0.0002451159,0.0000277464,0.000003301076,0.0001433945,0.0001588113,0.0003973311,0.001179886,0.9949076,0.0004283091,0.00248334],"study_design_scores_gemma":[0.00000706299,0.0000279876,0.0002016797,0.00001854706,0.000006882343,0.0002114829,0.00007076486,0.005173946,0.001473872,0.9895205,0.003275045,0.00001213555],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3340767,0.002257021,0.4582167,0.005934272,0.0008722025,0.0001238962,0.0003051657,0.0005846854,0.1976293],"genre_scores_gemma":[0.9550327,0.000914497,0.0252653,0.0005482516,0.001000013,0.00007357551,0.0001858084,0.0002150469,0.01676482],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008426398,"threshold_uncertainty_score":0.02818912,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0467419049037206,"score_gpt":0.3673444385196284,"score_spread":0.3206025336159078,"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."}}