高斯多项式尾部行为的估计。关于Latala一个结果的讨论
Estimates on the tail behavior of Gaussian polynomials. The discussion of a result of Latala
摘要:
本文讨论了Latala关于高斯多项式尾部性质的一个结果。Latala在文[2]中证明了关于这个问题的一个有趣的结果。但是他的证明在一个关键点上应用了一个不正确的陈述。因此,可能会出现的问题,是否文件[2]的主要结果是有效的。本文的目的是解决这个问题,提出这样一个证明,其中避免了应用的错误陈述。我详细地讨论了证明,即使是在一个较长的文本的价格,并试图给出这样一个解释,揭示他们背后的想法比原来的文件。\
英文摘要:
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. \
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。