{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007436501,0.0001029861,0.0002130301,0.0003473464,0.00003586364,0.00001852364,0.0002386136,0.00005418184,0.001740324],"category_scores_gemma":[0.00107943,0.00008044823,0.0001378681,0.0001681285,0.00008067699,0.000280002,0.00006325493,0.000164844,0.00003383098],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004349505,"about_ca_system_score_gemma":0.00002715097,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.704593e-7,"about_ca_topic_score_gemma":9.315196e-7,"domain_scores_codex":[0.9987381,0.00007499712,0.0004794253,0.00009457108,0.0005040634,0.0001088991],"domain_scores_gemma":[0.9979343,0.0009420642,0.0004683141,0.0001082021,0.0004753878,0.00007176829],"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":[0.0003784256,0.0005377182,0.01759104,0.00006248283,0.0008215831,0.00002102537,0.0003614729,0.0003307768,0.001431118,0.89442,0.002744206,0.08130021],"study_design_scores_gemma":[0.0007368927,0.00007990297,0.01065349,0.00007914894,0.00003904867,0.0005081128,0.0001543432,0.0001358205,0.0002768452,0.9839169,0.003321474,0.00009805689],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9062588,0.00007584596,0.09068681,0.0001540366,0.0005483091,0.00003356444,0.00004384486,0.000009475565,0.002189354],"genre_scores_gemma":[0.9951468,0.00003877774,0.003782989,0.0000747881,0.0002668421,0.000001847885,0.000009258256,0.0000148946,0.0006637721],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.08949693,"threshold_uncertainty_score":0.9991722,"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."}}