Pseudomoments of the Riemann zeta-function and pseudomagic squares
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AbstractWe 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 bears a striking resemblance to the leading coefficient in the expression for moments of secular coefficients of random unitary matrices.