{"id":"W2770344099","doi":"10.3842/sigma.2018.050","title":"Evaluation of Certain Hypergeometric Functions over Finite Fields","year":2018,"lang":"en","type":"article","venue":"Symmetry Integrability and Geometry Methods and Applications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Banff International Research Station for Mathematical Innovation and Discovery; Ministry of Science and Technology, Taiwan; National Center for Theoretical Sciences","keywords":"Prime (order theory); Character (mathematics); Hypergeometric function; Finite field; Mathematics; Hypergeometric distribution; Multiplicative function; Order (exchange); Combinatorics; Matrix (chemical analysis); Field (mathematics); Group (periodic table); Pure mathematics; Physics; Mathematical analysis; Geometry; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00697877,0.0001519948,0.0002344502,0.000684643,0.000332513,0.00007252484,0.0003135036,0.0001320139,0.0001595757],"category_scores_gemma":[0.001320819,0.0001320339,0.00009886067,0.003773207,0.0003885734,0.0002270986,0.0001859521,0.0002018359,0.000005506156],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002265773,"about_ca_system_score_gemma":0.00005451694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00007144242,"about_ca_topic_score_gemma":0.00001539172,"domain_scores_codex":[0.9979733,0.0006530304,0.0003446744,0.0005101043,0.0003271341,0.0001917768],"domain_scores_gemma":[0.9967936,0.001638612,0.0001268826,0.0007243652,0.000598111,0.0001183991],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000005198413,0.0001044368,0.002993316,0.00002358269,0.00003803221,2.178813e-8,0.0001198079,0.000003384707,0.0002882879,0.1996122,0.0000342875,0.7967774],"study_design_scores_gemma":[0.000551081,0.0004624077,0.04176698,0.00002779332,0.0002529678,0.000009810176,0.0004236231,0.03532307,0.003631852,0.8949807,0.02218586,0.0003838893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1002247,0.0007701585,0.8955921,0.0002407086,0.0001253972,0.0003208767,0.00002010136,0.00005687334,0.00264906],"genre_scores_gemma":[0.8835216,0.00005649003,0.1160344,0.0001035407,0.00008483018,0.0001308645,0.000005205601,0.000005136411,0.00005795284],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7963935,"threshold_uncertainty_score":0.5384186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04308796895526812,"score_gpt":0.3660916310277397,"score_spread":0.3230036620724716,"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."}}