{"id":"W4400876525","doi":"10.1016/j.aam.2024.102742","title":"General coefficient-vanishing results associated with theta series","year":2024,"lang":"en","type":"article","venue":"Advances in Applied Mathematics","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Mathematics; Series (stratigraphy); Pure mathematics; Mathematical analysis; Geology","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":[0.003198022,0.003373281,0.001989929,0.008980309,0.003345668,0.005451394,0.00272719,0.001835345,0.01432415],"category_scores_gemma":[0.01065743,0.001006904,0.001913459,0.005509475,0.00766725,0.01232376,0.007252378,0.005918888,0.002909639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002278031,"about_ca_system_score_gemma":0.00105042,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001092468,"about_ca_topic_score_gemma":0.0008492403,"domain_scores_codex":[0.9984835,0.0004198968,0.00009857293,0.0002591321,0.0004140919,0.0003249064],"domain_scores_gemma":[0.9955229,0.001926261,0.0004592126,0.0004855486,0.0007791894,0.0008269742],"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":[0.00004284471,0.00002753825,0.0002025956,0.00008173574,0.00001269731,0.0001105632,0.0002656646,0.0002744294,0.0005295408,0.9933974,0.0017968,0.003258033],"study_design_scores_gemma":[0.00001396481,0.00001047219,0.0001499586,0.00002454492,0.00002212427,0.0001400757,0.00007788717,0.00136807,0.000301723,0.9955959,0.002282589,0.00001272546],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2956882,0.009864872,0.1880518,0.01120098,0.004949754,0.0001019776,0.0005554759,0.0007457636,0.4888411],"genre_scores_gemma":[0.8809002,0.006736778,0.02047186,0.001698147,0.005747286,0.0001227334,0.0005766825,0.0005834854,0.08316286],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01432415,"threshold_uncertainty_score":0.04791909,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02450228792151997,"score_gpt":0.3097401516639317,"score_spread":0.2852378637424117,"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."}}