{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009471969,0.000495557,0.0007390372,0.0002363509,0.0001438701,0.0002750279,0.0004691701,0.0001592268,0.00004634052],"category_scores_gemma":[0.00150197,0.000383705,0.00009856895,0.0008292554,0.0003363158,0.0007769872,0.0001757473,0.0004999405,0.00007643124],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002324498,"about_ca_system_score_gemma":0.00007112094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001282793,"about_ca_topic_score_gemma":0.0001207315,"domain_scores_codex":[0.9968313,0.00003649703,0.001054828,0.0006191764,0.0007646442,0.0006935562],"domain_scores_gemma":[0.9958993,0.002941441,0.0002947782,0.0006856446,0.00007136187,0.0001074406],"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":[0.00004760249,0.000310549,0.000006364804,0.0012511,0.00005309558,0.00008484857,0.002887948,0.0008493551,0.0002652166,0.9931648,0.000383864,0.0006952002],"study_design_scores_gemma":[0.0006680938,0.00007845819,0.000004663131,0.001445446,0.00008704428,0.00004662451,0.001779197,0.005877838,0.002001786,0.9849202,0.002564697,0.0005259381],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.06628542,0.004164415,0.2984542,0.0005650756,0.001070767,0.003349223,0.0002569318,0.003732846,0.6221212],"genre_scores_gemma":[0.4821599,0.0004659219,0.5023052,0.00006182249,0.0002124211,0.0004059624,0.00005694357,0.0003385197,0.01399333],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6081278,"threshold_uncertainty_score":0.9998615,"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."}}