{"id":"W2612041959","doi":"","title":"Periodicity of A Partition Function Related to Making Change Modulo Prime Powers.","year":2017,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Modulo; Mathematics; Partition (number theory); Prime (order theory); Arithmetic; Combinatorics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006395223,0.0003525692,0.0005036435,0.001476427,0.001364672,0.001585128,0.0007020824,0.0007910177,0.006776365],"category_scores_gemma":[0.002832589,0.0002375424,0.0005988129,0.00066363,0.002604606,0.002161102,0.0009340812,0.001296241,0.0007414172],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006863065,"about_ca_system_score_gemma":0.0004626133,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004563063,"about_ca_topic_score_gemma":0.0003929448,"domain_scores_codex":[0.9996458,0.00008212132,0.00001377734,0.00006396792,0.0000977565,0.00009649136],"domain_scores_gemma":[0.9990476,0.0003274526,0.0002155663,0.0001642299,0.00008184589,0.0001632989],"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":[0.00005779978,0.00001971981,0.0003760366,0.00002881256,0.00000574584,0.0001686549,0.0001522852,0.0009641155,0.001941546,0.9908311,0.001044354,0.004409772],"study_design_scores_gemma":[0.00002440897,0.00002978757,0.0009032349,0.00001605044,0.000008631334,0.000308966,0.00008169922,0.01047375,0.001038347,0.984996,0.002105335,0.0000138292],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7810271,0.001238567,0.09097685,0.00135323,0.0009931755,0.0000611377,0.0002542203,0.0003027391,0.123793],"genre_scores_gemma":[0.9823188,0.0002667129,0.006918686,0.0001186404,0.0003032751,0.00003271613,0.000102209,0.0001032192,0.009835541],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006776365,"threshold_uncertainty_score":0.0226692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08285873117284184,"score_gpt":0.364268232017429,"score_spread":0.2814095008445872,"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."}}