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math.NT2026
Cauchy laws for zeta logarithmic derivatives and stationary Stieltjes transforms
Joseph Najnudel, Ashkan Nikeghbali
We prove an unconditional Cauchy limit for a symmetrically truncated Stieltjes transform of the projected ordinates of the zeros of the Riemann zeta function. A suitable normalizat…
math.PR2026
Moments of CE field partition function, correlations and stochastic zeta
Theodoros Assiotis, Joseph Najnudel
We prove a conjecture of Fyodorov and Keating on the supercritical moments of the partition function of the CE field or equivalently the supercritical moments of moments of the…