{"id":"W3154046011","doi":"10.4310/mrl.2021.v28.n1.a7","title":"The doubling archimedean zeta integrals for $p$-adic interpolation","year":2021,"lang":"en","type":"article","venue":"Mathematical Research Letters","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Interpolation (computer graphics); Euler's formula; Pure mathematics; Modular design; Mathematical analysis; Algebra over a field; Classical mechanics; Motion (physics); Physics","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":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.003654646,0.0001774811,0.0002977731,0.0001749609,0.0006365714,0.0003159292,0.0004974504,0.00007501699,0.0001804744],"category_scores_gemma":[0.01978754,0.0001158636,0.0002075855,0.0005998537,0.0003651521,0.0001497492,0.0002634043,0.0006614649,0.00013694],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00009223812,"about_ca_system_score_gemma":0.00008379018,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":8.199942e-7,"about_ca_topic_score_gemma":0.0000106944,"domain_scores_codex":[0.9970184,0.0003206631,0.0005323243,0.0003727047,0.000885503,0.0008704347],"domain_scores_gemma":[0.98342,0.01526133,0.0000831295,0.0006975511,0.0003461204,0.0001919428],"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":[0.00005629838,0.0001069052,0.00001568804,0.0003032809,0.00006847034,0.00001789864,0.0005487593,0.000001871753,0.01380713,0.9593187,0.01596361,0.0097914],"study_design_scores_gemma":[0.0003651788,0.00004514725,0.00001159242,0.000196221,0.00001554253,0.00001944608,0.001003323,0.002974143,0.00700342,0.9821873,0.006034274,0.0001443892],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2968139,0.0002396205,0.6539701,0.04115409,0.0002334609,0.00125908,0.00001502065,0.0001572778,0.006157456],"genre_scores_gemma":[0.8291352,0.00006528552,0.1605153,0.00154724,0.000813506,0.0007055986,0.00003712509,0.0001717679,0.007008887],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5323213,"threshold_uncertainty_score":0.9884692,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.216463625027215,"score_gpt":0.4772348708306303,"score_spread":0.2607712458034153,"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."}}