{"id":"W2727833210","doi":"10.1016/j.aim.2018.10.037","title":"Subconvexity for modular form L-functions in the t aspect","year":2018,"lang":"en","type":"article","venue":"Advances in Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":22,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Lethbridge","funders":"Natural Sciences and Engineering Research Council of Canada; Engineering and Physical Sciences Research Council; National Security Agency","keywords":"Mathematics; Square-free integer; Holomorphic function; Cusp form; Cusp (singularity); Modular form; Pure mathematics; Combinatorics; Algebra over a field; Geometry","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":[0.001633855,0.001140881,0.0009045265,0.003011158,0.002830505,0.004301538,0.001499565,0.001334105,0.009128734],"category_scores_gemma":[0.006381411,0.0005103819,0.001280755,0.00143233,0.006713135,0.00854484,0.004374087,0.003981094,0.0009569615],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001906512,"about_ca_system_score_gemma":0.000998129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001533933,"about_ca_topic_score_gemma":0.001222608,"domain_scores_codex":[0.9988847,0.0002602844,0.0000675727,0.0002434835,0.0002859649,0.0002579126],"domain_scores_gemma":[0.9961126,0.001584207,0.0004896212,0.0003716426,0.0005903882,0.0008515401],"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":[0.00002807076,0.00001197845,0.000188648,0.00001668568,0.000004311002,0.00009107182,0.0001370299,0.0002786734,0.0003791964,0.9961143,0.0004997342,0.002250334],"study_design_scores_gemma":[0.00001035925,0.0000113754,0.0001497639,0.000007367447,0.0000036013,0.00007855613,0.00005532361,0.003054654,0.000176868,0.9957464,0.0006986908,0.000006970597],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5804328,0.001056742,0.1993308,0.005521701,0.0006901409,0.00008869755,0.0003410769,0.0003784905,0.2121597],"genre_scores_gemma":[0.961091,0.0006616788,0.01433332,0.0008221724,0.0006597626,0.00008368844,0.0002711167,0.0002119747,0.02186513],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.009128734,"threshold_uncertainty_score":0.03053862,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06786765287894041,"score_gpt":0.3975676805120401,"score_spread":0.3297000276330996,"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."}}