{"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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000884542,0.0001264944,0.000265564,0.00009528479,0.0003074964,0.00006479259,0.0003523552,0.000109309,0.0002332823],"category_scores_gemma":[0.0009391812,0.0001258503,0.00008441703,0.0001220608,0.0001143731,0.0002540851,0.0002115784,0.0001853583,0.0001581329],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001026151,"about_ca_system_score_gemma":0.00003165802,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005885249,"about_ca_topic_score_gemma":0.00001075707,"domain_scores_codex":[0.9987069,0.0001069733,0.0002819323,0.0002394795,0.0003896535,0.0002750962],"domain_scores_gemma":[0.9984742,0.0001049328,0.0002593328,0.0008791705,0.0001891291,0.00009318523],"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":[0.0001320962,0.0001952424,0.01415218,0.00007647718,0.00008547047,0.000009659467,0.001611224,5.207567e-7,0.001160673,0.9804742,0.0008760437,0.001226186],"study_design_scores_gemma":[0.0006464712,0.0001998871,0.02373474,0.0001342977,0.00004878868,0.000003401955,0.0001389842,0.0003583139,0.00128656,0.97301,0.0002955891,0.0001429795],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9897728,0.00001730566,0.0001733041,0.0004442793,0.0007089856,0.0004453713,0.000004627586,0.00006514438,0.008368188],"genre_scores_gemma":[0.9988814,0.000002711333,0.0002216823,0.00003529343,0.00001152517,0.00003957106,0.000002763104,0.00002686322,0.0007781898],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009582557,"threshold_uncertainty_score":0.5132027,"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."}}