{"id":"W2101885939","doi":"10.1142/s1793042115500311","title":"Sums of digits in q-ary expansions","year":2014,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Base (topology); Rational number; Expression (computer science); Of the form; Multiple","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":[0.001180157,0.0007711146,0.000700007,0.002094149,0.000771631,0.002218128,0.0008856766,0.0007496097,0.01052724],"category_scores_gemma":[0.004393277,0.0003300004,0.000496426,0.001214896,0.001682312,0.002568354,0.001351963,0.001277897,0.003090021],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000636617,"about_ca_system_score_gemma":0.0003000915,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001925619,"about_ca_topic_score_gemma":0.0002731197,"domain_scores_codex":[0.9988741,0.0002665341,0.00008507947,0.0001675404,0.0004476723,0.0001588729],"domain_scores_gemma":[0.9990491,0.0005342893,0.0001024668,0.00009699306,0.0001412506,0.00007592235],"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":[0.0001308074,0.00002932927,0.000345261,0.0001340915,0.00001009824,0.0003408612,0.0001994582,0.002394534,0.005330894,0.9526405,0.003389988,0.03505426],"study_design_scores_gemma":[0.00002798478,0.00009016677,0.0007209944,0.0001279211,0.00002627325,0.0008784951,0.0001365824,0.0241704,0.008402794,0.9421719,0.02319098,0.00005544286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.3894624,0.005650927,0.3026514,0.001572714,0.00214531,0.0001313489,0.0005668197,0.001510108,0.296309],"genre_scores_gemma":[0.8794485,0.002078808,0.06794823,0.000797079,0.001105233,0.0001862296,0.000422355,0.0006116393,0.04740196],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01052724,"threshold_uncertainty_score":0.03521717,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04164528069980739,"score_gpt":0.3798568663269006,"score_spread":0.3382115856270932,"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."}}