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arXiv math-ph/0112043math-phmath.COmath.MP
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特征多项式的矩枚举二行字典阵列

Moments of characteristic polynomials enumerate two-rowed lexicographic arrays

E Strahov

摘要:

给出了随机酉矩阵特征多项式矩的一种组合解释。这导致了Keating和Snaith猜想的一个相当意想不到的结果:$\midξ(1/2+it)\mid$的矩被证明与一些增加的连续性问题(如最后一次通过渗流问题)有关。

英文摘要:

A combinatorial interpretation is provided for the moments of characteristic polynomials of random unitary matrices. This leads to a rather unexpected consequence of the Keating and Snaith conjecture: the moments of $\midξ(1/2+it)\mid$ turn out to be connected with some increasing subsequences problems (such as the last passage percolation problem).

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。

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