Zeta Values as Moments: A Random Matrix Theory

Organisé par

Institut Henri Poincaré

The values of the Riemann zeta-function $\zeta\left(\alpha+\beta n\right)$ with $\alpha>1$, $\beta>0$ and $n$ a positive integer can be viewed as moments of a probability distribution. In my talk I will construct the corresponding random matrix model and determine its asymptotic spectral curve, which exhibits an unusual feature, the complete asymptotics of its partition function and uniform approx

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