{"id":"W1994048664","doi":"10.1112/plms/pds061","title":"Non-commutative Iwasawa theory for modular forms","year":2013,"lang":"en","type":"article","venue":"Proceedings of the London Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Modular form; Iwasawa theory; Conjecture; Galois module; Galois group; Algebra over a field; Congruence (geometry); Character (mathematics); Extension (predicate logic)","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":[0.001719507,0.0003055398,0.0005823012,0.00002756313,0.0002866156,0.00006751499,0.0008478502,0.0002135592,0.0003717541],"category_scores_gemma":[0.001314909,0.00018186,0.0008309732,0.0003223089,0.0004215066,0.0003703927,0.0003357714,0.0003164254,0.00006001686],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005935045,"about_ca_system_score_gemma":0.00002142457,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001657253,"about_ca_topic_score_gemma":4.822838e-8,"domain_scores_codex":[0.9981563,0.00001050892,0.000613215,0.0002914505,0.0004407139,0.0004878008],"domain_scores_gemma":[0.9973261,0.001374773,0.0004488562,0.0002894707,0.0004448938,0.0001159554],"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":[0.00003139029,0.00030708,0.0001257577,0.001833835,0.0002496016,3.055129e-8,0.005224578,6.462683e-7,0.009361736,0.9728602,0.009574547,0.0004306221],"study_design_scores_gemma":[0.0006190208,0.0000721541,0.0001525844,0.0001801723,0.0001266874,0.000007534565,0.004554991,0.001488607,0.06339211,0.9291028,0.00008301644,0.0002202903],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9656658,0.00003830666,0.01928725,0.001022987,0.00006827788,0.002136281,0.00001149734,0.0001060751,0.01166359],"genre_scores_gemma":[0.9430982,0.000006512408,0.05278962,0.0003264209,0.0000852805,0.0004738509,0.000001246266,0.00006779879,0.003151074],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05403038,"threshold_uncertainty_score":0.7416037,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01789275799956357,"score_gpt":0.2677435594618435,"score_spread":0.2498508014622799,"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."}}