{"id":"W2023614175","doi":"10.4153/cmb-2011-032-8","title":"Cancellation of Cusp Forms Coefficients over Beatty Sequences on GL(<i>m</i>)","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Cusp (singularity); Cusp form; Fourier series; Combinatorics; Pure mathematics; Mathematical analysis; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007597143,0.0008656151,0.0007600337,0.002410894,0.001544146,0.001483119,0.0007093209,0.000720197,0.01020563],"category_scores_gemma":[0.003253887,0.0003138713,0.0006020726,0.000708283,0.001540233,0.002234127,0.001977052,0.001553942,0.001092306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007802128,"about_ca_system_score_gemma":0.0004549441,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00102375,"about_ca_topic_score_gemma":0.0008358072,"domain_scores_codex":[0.9992566,0.000108708,0.00003310676,0.00008573232,0.0003356057,0.0001802541],"domain_scores_gemma":[0.9988385,0.0002422773,0.0002175449,0.00008018225,0.0002553711,0.0003661331],"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":[0.001075595,0.0001502858,0.006882554,0.0002882763,0.00004836444,0.0030061,0.00193144,0.005252698,0.06704123,0.8684722,0.003888333,0.04196296],"study_design_scores_gemma":[0.0002301504,0.0008290651,0.01669347,0.0002099526,0.00006942564,0.005839533,0.001307696,0.06937253,0.05036486,0.8338749,0.02096985,0.0002386464],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.9409651,0.0003262373,0.02356352,0.0002531253,0.0002895784,0.00004182716,0.00007893053,0.0001474061,0.03433426],"genre_scores_gemma":[0.9737845,0.0002292991,0.005395883,0.0000984611,0.0002413896,0.00003547755,0.0001547282,0.0001129377,0.01994745],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.01020563,"threshold_uncertainty_score":0.03414124,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07056897130854965,"score_gpt":0.3091240029878757,"score_spread":0.2385550316793261,"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."}}