{"id":"W2963983632","doi":"10.1007/s00229-017-0950-7","title":"Theta integrals and generalized error functions","year":2017,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Holomorphic function; Mathematics; Modular form; Number theory; Series (stratigraphy); Pure mathematics; Theta function; Signature (topology); Algebraic geometry; Intersection (aeronautics); Identity theorem; Algebra over a field; Surface (topology); Geometry","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":[0.003507821,0.001661958,0.001406543,0.00399618,0.00164874,0.004995388,0.001690356,0.002524687,0.01216206],"category_scores_gemma":[0.01138665,0.0006410849,0.001218952,0.002316745,0.005306275,0.01094134,0.004214093,0.005041289,0.001948876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001856796,"about_ca_system_score_gemma":0.0009502184,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009319928,"about_ca_topic_score_gemma":0.0006058086,"domain_scores_codex":[0.9987476,0.0004301013,0.00008878071,0.0001870078,0.0003926075,0.0001537826],"domain_scores_gemma":[0.9967461,0.001099825,0.0004644509,0.0005592931,0.000715271,0.0004150237],"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":[0.000007739442,0.00000449139,0.00004775439,0.00001386814,0.000004922587,0.00002345778,0.00006189172,0.0002548226,0.00008879305,0.9975374,0.0005739505,0.001380914],"study_design_scores_gemma":[0.000004897857,0.000003789879,0.00006394267,0.00001022913,0.000005415781,0.00005981614,0.00003411736,0.002273984,0.0001088191,0.9958113,0.001616455,0.00000725078],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2469888,0.008048427,0.4352555,0.0170418,0.005368407,0.00005668643,0.0004090471,0.0007954715,0.2860358],"genre_scores_gemma":[0.7967355,0.004712362,0.04606505,0.001784716,0.003295346,0.0000895241,0.0002631852,0.0008789304,0.1461753],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01216206,"threshold_uncertainty_score":0.04068613,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1688616758751445,"score_gpt":0.3730035615539042,"score_spread":0.2041418856787598,"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."}}