{"id":"W4407771492","doi":"10.1007/s13226-025-00765-x","title":"Applications of Nörlund’s formula and linear forms for continued fractions","year":2025,"lang":"en","type":"article","venue":"Indian Journal of Pure and Applied Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"Ministry of Science and Technology, Taiwan","keywords":"Mathematics","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":[0.001125473,0.0011555,0.0009044464,0.004080631,0.001080761,0.002438242,0.00106251,0.001569971,0.006054098],"category_scores_gemma":[0.004798989,0.000383005,0.001252377,0.002305622,0.002720967,0.004065637,0.002198642,0.002813025,0.0008153473],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00177182,"about_ca_system_score_gemma":0.000809467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001294428,"about_ca_topic_score_gemma":0.001074119,"domain_scores_codex":[0.9995746,0.0001510189,0.00004670342,0.00007617194,0.0001123265,0.0000391058],"domain_scores_gemma":[0.9991637,0.0004129421,0.00007817859,0.00008091304,0.0001840995,0.00008018771],"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":[0.00001714072,0.00001512259,0.0001297207,0.00006560866,0.000009376606,0.0001172062,0.0001896636,0.001302489,0.0008379836,0.9832699,0.000990966,0.01305482],"study_design_scores_gemma":[0.00001070794,0.00001567776,0.000135205,0.00002871185,0.000007269995,0.0001552331,0.00006745936,0.008970779,0.0003567591,0.9801363,0.01009768,0.00001816896],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1056287,0.03363204,0.517251,0.009125769,0.006468354,0.0001117164,0.0003781079,0.0004131446,0.3269912],"genre_scores_gemma":[0.7885716,0.01451911,0.1214789,0.0009904428,0.004446373,0.0001124731,0.0002436058,0.0002724815,0.06936505],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006054098,"threshold_uncertainty_score":0.020253,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01547012276374945,"score_gpt":0.3037043350330677,"score_spread":0.2882342122693183,"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."}}