{"id":"W2996079308","doi":"10.1016/j.aim.2023.108932","title":"Nonmodular infinite products and a conjecture of Seo and Yee","year":2023,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Conjecture; Integer (computer science); Infinite product; Combinatorics; Product (mathematics); Series (stratigraphy); Discrete mathematics; Geometry; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006188096,0.0001712861,0.0004648967,0.0001754811,0.00004538872,0.0000187334,0.00009641379,0.00008361839,0.00004674619],"category_scores_gemma":[0.001603642,0.0001367995,0.00002878722,0.0004731156,0.0001503488,0.0001622629,0.0001047048,0.0001262539,0.00001396556],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000008949622,"about_ca_system_score_gemma":0.00001800291,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001696095,"about_ca_topic_score_gemma":0.000008865923,"domain_scores_codex":[0.9988391,0.00003543107,0.0005084322,0.0002148425,0.0001824727,0.0002196909],"domain_scores_gemma":[0.9980353,0.001349097,0.0001785174,0.00033686,0.00004825661,0.0000519881],"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":[0.00002223073,0.0003220827,0.001569867,0.01216499,0.00006195266,0.00002206037,0.008450647,0.00005951323,0.001947337,0.9634943,0.00107411,0.01081092],"study_design_scores_gemma":[0.000435892,0.00007118361,0.000232483,0.0004104294,0.00003899448,0.00003282401,0.0006836975,0.002369729,0.001418978,0.9896759,0.004429489,0.0002004461],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9865294,0.00189771,0.003195165,0.0004327658,0.0001645612,0.0007786434,0.00003314839,0.0001491984,0.006819474],"genre_scores_gemma":[0.7579648,0.004217874,0.2349159,0.00007415457,0.0001495451,0.0001268371,0.00001034973,0.0001026294,0.002437938],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2317207,"threshold_uncertainty_score":0.557852,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02997880398193826,"score_gpt":0.3193904322569701,"score_spread":0.2894116282750318,"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."}}