{"id":"W2375798406","doi":"10.1007/s00229-016-0900-9","title":"On critical values of L-functions of potentially automorphic motives","year":2016,"lang":"en","type":"article","venue":"manuscripta mathematica","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University College London; Centre de Recherches Mathématiques","keywords":"Langlands–Shahidi method; Automorphic L-function; Mathematics; Number theory; Automorphic form; Unitary state; Algebraic geometry; Pure mathematics; Langlands program; Conjecture; Context (archaeology); Algebraic number; Artin L-function; Algebra over a field; Mathematical analysis; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003574846,0.0002175134,0.0005445512,0.000229415,0.00006917293,0.000009942119,0.00028265,0.00009856476,0.001120179],"category_scores_gemma":[0.004461336,0.0001401326,0.0002138645,0.0002194914,0.0004121095,0.0001653043,0.00009725079,0.0001002044,0.0001360097],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002529106,"about_ca_system_score_gemma":0.00003015016,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.844686e-7,"about_ca_topic_score_gemma":6.922099e-7,"domain_scores_codex":[0.9981992,0.00008153405,0.0006789381,0.000273042,0.0004731166,0.0002942176],"domain_scores_gemma":[0.9969192,0.001863697,0.0002401536,0.0006801284,0.0002030922,0.00009380031],"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":[0.00003510043,0.0006847299,0.00004023601,0.0005846906,0.00007695269,0.000005343742,0.0002479237,8.004761e-7,0.01149714,0.9819549,0.003455885,0.001416325],"study_design_scores_gemma":[0.0004118638,0.0002788166,0.0002485698,0.0006234717,0.0001058011,0.00001225413,0.0002281916,0.00004596431,0.01852835,0.9792743,0.00007910819,0.0001633437],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3434851,0.0000915623,0.6402382,0.001354338,0.0005211665,0.0003926076,0.0001143136,0.0001918202,0.01361084],"genre_scores_gemma":[0.9544061,0.000007513816,0.04012451,0.00003670669,0.00004620886,0.00001986165,0.000001231974,0.00004103167,0.005316837],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.610921,"threshold_uncertainty_score":0.9997929,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04760769055941988,"score_gpt":0.3114094116432091,"score_spread":0.2638017210837892,"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."}}