{"id":"W2069539230","doi":"10.4134/jkms.2007.44.2.455","title":"THE ZERO-DISTRIBUTION AND THE ASYMPTOTIC BEHAVIOR OF A FOURIER INTEGRAL","year":2007,"lang":"en","type":"article","venue":"Journal of the Korean Mathematical Society","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Mathematics; Zero (linguistics); Saddle; Fourier transform; Polynomial; Saddle point; Mathematical analysis; Distribution (mathematics); Fourier series; Asymptotic formula; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001723161,0.0006867128,0.0008552411,0.002104696,0.0009493451,0.001809206,0.001669932,0.001025196,0.004974371],"category_scores_gemma":[0.008656682,0.0003442936,0.0008019449,0.0007627237,0.003087352,0.002738938,0.00146427,0.001876421,0.0009979655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001284727,"about_ca_system_score_gemma":0.0009568695,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001284393,"about_ca_topic_score_gemma":0.0005638497,"domain_scores_codex":[0.9995035,0.0001762763,0.00001973303,0.00007815962,0.0001356346,0.00008667131],"domain_scores_gemma":[0.9981734,0.0008669521,0.0001432462,0.0001930153,0.0004155936,0.0002077326],"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":[0.00003284384,0.0000247004,0.0002911398,0.00005238544,0.000009602762,0.0001519799,0.0001153,0.005178395,0.001989585,0.9879833,0.0009244975,0.003246172],"study_design_scores_gemma":[0.00002673161,0.00003651489,0.0006256429,0.00007543229,0.00002088828,0.0004600351,0.0001119592,0.3420951,0.001939558,0.6522322,0.002326574,0.00004931699],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2447947,0.003182805,0.6391107,0.002272107,0.0005008662,0.00008603126,0.00021483,0.0008669953,0.1089709],"genre_scores_gemma":[0.9414376,0.001613979,0.03587776,0.0003787085,0.0004295391,0.0001131696,0.000273258,0.0004112316,0.01946482],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004974371,"threshold_uncertainty_score":0.0166409,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02228562339660022,"score_gpt":0.2927456437219628,"score_spread":0.2704600203253626,"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."}}