{"id":"W2093221812","doi":"10.1155/imrn/2006/59326","title":"Holomorphy of the 9th symmetric power L-functions for Re(s) > 1","year":2006,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Mathematics; Power (physics); Pure mathematics; Arithmetic; Combinatorics; Calculus (dental)","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000534047,0.0007915929,0.000430186,0.001718209,0.001194834,0.001909248,0.000747407,0.0006129213,0.006985857],"category_scores_gemma":[0.001228792,0.0002624805,0.0007695247,0.0004044888,0.003042747,0.003163866,0.001772587,0.002473471,0.001171126],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000723069,"about_ca_system_score_gemma":0.0003354193,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003392319,"about_ca_topic_score_gemma":0.0002318453,"domain_scores_codex":[0.9996887,0.00004267005,0.00001728051,0.000063163,0.00009081302,0.00009733695],"domain_scores_gemma":[0.9994811,0.00009587352,0.0001149034,0.00009177755,0.0000903613,0.0001260083],"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":[0.0001424366,0.000040979,0.001217733,0.00005720633,0.00001053861,0.0007162883,0.0009307115,0.001096338,0.01095799,0.9722686,0.0006817193,0.01187939],"study_design_scores_gemma":[0.00004688734,0.000194709,0.002693329,0.00004654385,0.00002061221,0.001575425,0.0006737721,0.01025607,0.0143098,0.9627792,0.007356306,0.00004730762],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9057628,0.0001606015,0.03466452,0.0004162806,0.0001427892,0.00002894028,0.00006241307,0.0001495218,0.05861212],"genre_scores_gemma":[0.9838358,0.0001360447,0.004064535,0.0000700486,0.0000969898,0.00001747525,0.00005841153,0.00008265865,0.01163809],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006985857,"threshold_uncertainty_score":0.02336997,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1183949335197012,"score_gpt":0.4244148287822038,"score_spread":0.3060198952625026,"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."}}