{"id":"W2257421706","doi":"10.1007/s40316-016-0063-9","title":"Functional equations for multi-signed Selmer groups","year":2016,"lang":"fr","type":"article","venue":"Annales mathématiques du Québec","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Functional equation; Elliptic curve; Pure mathematics; Supersingular elliptic curve; Algebra over a field; Group (periodic table); Mathematical analysis; Partial differential equation; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00120447,0.0004934834,0.0005500494,0.0001813224,0.000420948,0.00009021856,0.0003504924,0.0003657182,0.007653959],"category_scores_gemma":[0.002985851,0.0003851088,0.0004663048,0.0002221864,0.0005083163,0.00072812,0.0001295812,0.0001826442,0.003278116],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003370745,"about_ca_system_score_gemma":0.0007679616,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009316524,"about_ca_topic_score_gemma":0.004745272,"domain_scores_codex":[0.9972624,0.000323898,0.0008615046,0.000528096,0.0003421546,0.0006819566],"domain_scores_gemma":[0.9931052,0.005082421,0.0004343476,0.0005760175,0.0005532613,0.0002487811],"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":[0.0001679208,0.001029357,0.0005691473,0.0007813605,0.000452114,0.00001023065,0.003527537,0.000003615004,0.001221333,0.8422514,0.1342832,0.01570278],"study_design_scores_gemma":[0.004429663,0.0006436635,0.002816466,0.001537177,0.0007421004,0.0001631475,0.001121874,0.003913812,0.008711953,0.6802592,0.294008,0.001652856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08067524,0.003603215,0.8847189,0.02676098,0.001144895,0.0008820129,0.0003232235,0.0003221169,0.001569396],"genre_scores_gemma":[0.7402412,0.0003248608,0.04528218,0.001639386,0.001918862,0.0006286398,0.00007546497,0.0002127813,0.2096766],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8394367,"threshold_uncertainty_score":0.9998601,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06444474827594593,"score_gpt":0.2932993380182005,"score_spread":0.2288545897422546,"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."}}