{"id":"W4402118363","doi":"10.1093/imrn/rnae179","title":"Zero-Dimensional Shimura Varieties and Central Derivatives of Eisenstein Series","year":2024,"lang":"en","type":"article","venue":"International Mathematics Research Notices","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Eisenstein series; Zero (linguistics); Shimura variety; Pure mathematics; Fourier series; Torus; Series (stratigraphy); Algebra over a field; Point (geometry); Modular form; Mathematical analysis; Geometry","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":[],"consensus_categories":[],"category_scores_codex":[0.0007231582,0.0001678335,0.0002595765,0.0004349675,0.0001091781,0.0002012353,0.0003203443,0.00007941604,0.0002968318],"category_scores_gemma":[0.001929466,0.0001343252,0.00007268084,0.0003220071,0.0005272925,0.0005484861,0.0003075977,0.0003337536,0.00002688639],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005416549,"about_ca_system_score_gemma":0.00008784778,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005345047,"about_ca_topic_score_gemma":0.000007650333,"domain_scores_codex":[0.9976809,0.00008219917,0.0004530787,0.000281074,0.001156372,0.000346398],"domain_scores_gemma":[0.9957986,0.00338271,0.00009384647,0.0002059113,0.0004207006,0.00009826499],"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":[0.00003591428,0.0001611624,0.0001179155,0.001143232,0.0002177738,0.00003567724,0.00295846,0.00005277479,0.005151408,0.9879042,0.001010932,0.001210563],"study_design_scores_gemma":[0.0001519638,0.00009350035,0.0002855987,0.0005688192,0.0000183999,0.00003736955,0.001761399,0.006379489,0.01144514,0.9780686,0.001039913,0.0001497858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9807615,0.0009830891,0.007922265,0.001902812,0.0004854235,0.0003021141,0.00007471057,0.0001172178,0.00745085],"genre_scores_gemma":[0.9560666,0.00008007458,0.04102183,0.00001044881,0.0001275886,0.00001835117,0.000008864189,0.00003254623,0.002633681],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03309956,"threshold_uncertainty_score":0.5477624,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.10327281249823,"score_gpt":0.4232312257823794,"score_spread":0.3199584132841494,"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."}}