{"id":"W3021231285","doi":"10.2140/ant.2021.15.1699","title":"Rational dynamical systems, S-units, andD-finite power series","year":2021,"lang":"en","type":"preprint","venue":"Algebra & Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto; University of Waterloo","funders":"","keywords":"Multiplicative function; Algebraically closed field; Mathematics; Combinatorics; Power series; Torus; Finite field; Zero (linguistics); Series (stratigraphy); Algebraic number; Field (mathematics); Orbit (dynamics); Formal power series; Discrete mathematics; Pure mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004298638,0.0005073997,0.0004763235,0.001588175,0.001471487,0.001825236,0.0006472344,0.000481314,0.005155029],"category_scores_gemma":[0.001084801,0.0002095951,0.0005715559,0.0008994661,0.003041722,0.002291693,0.00169487,0.0009509478,0.0005204346],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002464718,"about_ca_system_score_gemma":0.0004482137,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00167532,"about_ca_topic_score_gemma":0.001220977,"domain_scores_codex":[0.9995849,0.00007892839,0.00002138868,0.00008835869,0.0001268365,0.0000997993],"domain_scores_gemma":[0.9995726,0.0001012558,0.00008456846,0.00006453638,0.00006824322,0.0001087523],"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":[0.000007811447,0.000006844806,0.0002107759,0.00001128851,0.000002003761,0.00004454308,0.0001072666,0.0009190714,0.0002892279,0.9965526,0.0002522003,0.001596384],"study_design_scores_gemma":[0.00001286572,0.00001585352,0.0002924115,0.00001014442,0.000002727712,0.00009017647,0.0001296899,0.01027891,0.000368431,0.9840193,0.004770763,0.000008738281],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.758236,0.004458499,0.09837646,0.002406317,0.0002882092,0.00007621354,0.000471447,0.0002879785,0.1353989],"genre_scores_gemma":[0.9744435,0.0008822394,0.01040723,0.0001049725,0.0001215235,0.0000624178,0.0002193035,0.00002864926,0.01373017],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005155029,"threshold_uncertainty_score":0.01788282,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02532128161717646,"score_gpt":0.2761320551929094,"score_spread":0.2508107735757329,"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."}}