{"id":"W1983959066","doi":"10.1142/s1793042115500347","title":"Quaternionic modular forms and exceptional sets of hypergeometric functions","year":2014,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Champlain Regional College","funders":"","keywords":"Mathematics; Hypergeometric function; Modular form; Pure mathematics; Algebra over a field; Basic hypergeometric series; Eisenstein series; Hypergeometric distribution; Modular design; Generalized hypergeometric function; Computer science","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":[0.001065427,0.0009680041,0.0008789239,0.005508052,0.00204629,0.003134167,0.001242059,0.0008902377,0.004392376],"category_scores_gemma":[0.004418605,0.0004460638,0.0008867609,0.001833913,0.003801932,0.003780426,0.002582401,0.001909371,0.0005791379],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009567427,"about_ca_system_score_gemma":0.0003837675,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003113351,"about_ca_topic_score_gemma":0.0002936952,"domain_scores_codex":[0.9992869,0.0001393097,0.0000426562,0.0001019287,0.0002103043,0.0002188997],"domain_scores_gemma":[0.9980927,0.0006436317,0.0004540952,0.0001650844,0.0002219541,0.0004224906],"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":[0.00007500525,0.00004061125,0.001446065,0.00003942053,0.00001287549,0.0004973626,0.000342396,0.003899888,0.003662354,0.9835469,0.0003831135,0.006054084],"study_design_scores_gemma":[0.0000232838,0.0000291943,0.0007155431,0.00003218664,0.00001024986,0.0003482634,0.0001936445,0.01272204,0.003305613,0.981634,0.0009566605,0.00002939466],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9293738,0.0002572071,0.04278047,0.0002912085,0.00009678548,0.00002251445,0.0001044226,0.00009591458,0.02697756],"genre_scores_gemma":[0.9932775,0.0001340834,0.004554784,0.00003479516,0.00008625883,0.00002628366,0.000109029,0.00002953957,0.001747685],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005508052,"threshold_uncertainty_score":0.01469398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01755021459603573,"score_gpt":0.3154610064723185,"score_spread":0.2979107918762827,"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."}}