{"id":"b8a64d78-62cc-4e62-9762-6fd0750d9903","arxiv_id":"1908.00428","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"For any autoregressive order k, the averaged multidimensional sum of products of root powers converges to an explicit rational formula depending only on the absolute value of the sum of the shifts.","lead":"This paper proves a general formula for a limit that appears when computing moments of parameter estimators in autoregressive (AR(k)) time-series models. It extends earlier work that covered only orders 2, 3, and 4, using a proof technique credited to a MathOverflow answer.","discovery_kind":"extension","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-14T15:58:35.793822+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}