{ "id": "0912.2279", "version": "v1", "published": "2009-12-11T16:53:35.000Z", "updated": "2009-12-11T16:53:35.000Z", "title": "Estimates on the tail behavior of Gaussian polynomials. The discussion of a result of Latala", "authors": [ "Peter Major" ], "categories": [ "math.PR" ], "abstract": "In this paper a result of Latala about the tail behavior of Gaussian polynomials will be discussed. Latala proved an interesting result about this problem in paper [2]. But his proof applied an incorrect statement at a crucial point. Hence the question may arise whether the main result of paper [2] is valid. The goal of this paper is to settle this problem by presenting such a proof where the application of the erroneous statement is avoided. I discuss the proofs in detail even at the price of a longer text and try to give such an explanation that reveals the ideas behind them better than the original paper. \\", "revisions": [ { "version": "v1", "updated": "2009-12-11T16:53:35.000Z" } ], "analyses": { "subjects": [ "60E15" ], "keywords": [ "gaussian polynomials", "tail behavior", "discussion", "original paper", "main result" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.2279M" } } }