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Pseudomoments of the Riemann zeta-function and pseudomagic squares

✍ Scribed by Brian Conrey; Alex Gamburd

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 195 KB
Volume: 117
Category: Article
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2005.01.006

No coin nor oath required. For personal study only.

✦ Synopsis

We compute integral moments of partial sums of the Riemann zeta function on the critical line and obtain an expression for the leading coefficient as a product of the standard arithmetic factor and a geometric factor. The geometric factor is equal to the volume of the convex polytope of substochastic matrices and is equal to the leading coefficient in the expression for moments of truncated characteristic polynomial of a random unitary matrix.

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