{"id":"W2513563162","doi":"10.1186/s40687-016-0075-8","title":"A theta operator on Picard modular forms modulo an inert prime","year":2016,"lang":"en","type":"preprint","venue":"Research in the Mathematical Sciences","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Modulo; Prime (order theory); Mathematics; Modular design; Modular form; Operator (biology); Arithmetic; Pure mathematics; Construct (python library); Algebra over a field; Discrete mathematics; Combinatorics; Computer science; Chemistry; Programming language","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":[0.001682636,0.001707959,0.001242926,0.003299423,0.002470991,0.004178982,0.001166455,0.001648237,0.00686392],"category_scores_gemma":[0.003398946,0.0006436178,0.001009175,0.002107257,0.006274277,0.005308243,0.003393952,0.003539586,0.001068247],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001621123,"about_ca_system_score_gemma":0.0008677599,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004690659,"about_ca_topic_score_gemma":0.0003048498,"domain_scores_codex":[0.9991767,0.0001966776,0.00003188435,0.0001875149,0.000240939,0.0001662442],"domain_scores_gemma":[0.9989304,0.0002925117,0.0001498285,0.0001203061,0.0001302413,0.0003766376],"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":[0.00004268775,0.00001890403,0.0001319025,0.0000151009,0.000004618841,0.000127794,0.0002659046,0.0001967672,0.0008262241,0.9951949,0.0005373454,0.002637903],"study_design_scores_gemma":[0.00003321756,0.00004040347,0.0001912881,0.00001289533,0.00000908659,0.0002546467,0.0001083682,0.00151467,0.0004833876,0.9947178,0.002621507,0.00001277749],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6592139,0.001757273,0.09712034,0.004525179,0.002544095,0.0001113058,0.0002226474,0.0005155425,0.2339897],"genre_scores_gemma":[0.948524,0.000841707,0.008246241,0.0005968027,0.001797732,0.0000623089,0.0000995832,0.0001511914,0.03968047],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00686392,"threshold_uncertainty_score":0.02296209,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3005861040531924,"score_gpt":0.4806509167719148,"score_spread":0.1800648127187224,"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."}}