{"id":"W2073473217","doi":"10.1007/s00013-011-0314-6","title":"Two remarks on iterates of Euler’s totient function","year":2011,"lang":"de","type":"article","venue":"Archiv der Mathematik","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Euler's totient function; Mathematics; Iterated function; Combinatorics; Order (exchange); Prime (order theory); Euler's formula; Tree (set theory); Prime number; Mathematical analysis","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":[0.004613352,0.001385179,0.001208036,0.003381035,0.00240559,0.003852963,0.002163245,0.003833281,0.01087219],"category_scores_gemma":[0.01268526,0.0005148369,0.002170716,0.001663985,0.007527366,0.009411634,0.004564363,0.006163425,0.001464012],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001842267,"about_ca_system_score_gemma":0.0006209823,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001491824,"about_ca_topic_score_gemma":0.0009208697,"domain_scores_codex":[0.9983626,0.0005099625,0.0001188632,0.0003089653,0.0004059677,0.0002935702],"domain_scores_gemma":[0.9950865,0.002812221,0.0002738841,0.0007397107,0.0006557793,0.0004318831],"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":[0.00004965371,0.0000113416,0.0001847657,0.00003231481,0.000007449879,0.0001522712,0.0002995753,0.000318125,0.0003368591,0.9915314,0.003080268,0.003995837],"study_design_scores_gemma":[0.00002252481,0.00002572939,0.0005087295,0.0000337683,0.00001529612,0.0002831425,0.0001470708,0.00236992,0.0008083216,0.9768949,0.01884852,0.00004207241],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.146851,0.005628222,0.4245477,0.07796054,0.01461921,0.00009520391,0.0006968745,0.001261078,0.3283402],"genre_scores_gemma":[0.7521034,0.003307228,0.08181924,0.008788217,0.008030219,0.0001888661,0.0003742121,0.001347741,0.1440409],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01087219,"threshold_uncertainty_score":0.03637111,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06879073062979504,"score_gpt":0.3119987344756177,"score_spread":0.2432080038458226,"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."}}