{"id":"W2143833056","doi":"10.1142/s1793042114500067","title":"Sign changes of Fourier coefficients of half-integral weight cusp forms","year":2013,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Cusp (singularity); Sign (mathematics); Cusp form; Fourier series; Fourier analysis; Fourier transform; Mathematical analysis; Space (punctuation); Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001552723,0.0007353976,0.0006591025,0.002806118,0.001255468,0.002223979,0.001490759,0.001312185,0.007094873],"category_scores_gemma":[0.01154673,0.0004908113,0.0007627596,0.0009289826,0.003665618,0.004622356,0.001931638,0.00189929,0.0005835129],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005257657,"about_ca_system_score_gemma":0.000377964,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001861599,"about_ca_topic_score_gemma":0.0001414072,"domain_scores_codex":[0.9989589,0.0001830667,0.00006205351,0.0001796537,0.0004112467,0.0002050974],"domain_scores_gemma":[0.9956617,0.001541394,0.0007658383,0.0006035644,0.000633335,0.0007942619],"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":[0.0006031879,0.0001623813,0.008457234,0.0002293031,0.00005536316,0.001180025,0.0007958721,0.006746484,0.05523365,0.8835139,0.001596605,0.04142583],"study_design_scores_gemma":[0.00008868922,0.0002017096,0.007422977,0.00008885999,0.00005809141,0.002655169,0.0004569967,0.0550712,0.02470126,0.9062929,0.002822663,0.0001394728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9235874,0.0003086879,0.06091396,0.0003418482,0.0002332654,0.0000270842,0.000101385,0.0001662097,0.0143202],"genre_scores_gemma":[0.984632,0.0002771145,0.009673026,0.00009046776,0.0001332289,0.0000398786,0.0001162541,0.0001139095,0.004924061],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007094873,"threshold_uncertainty_score":0.02373469,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01724733829035756,"score_gpt":0.3096834865535986,"score_spread":0.292436148263241,"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."}}