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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.NT2018
Exponential moments of the argument of the Riemann zeta function on the critical line
Joseph Najnudel
In this article, we give, under the Riemann hypothesis, an upper bound for the exponential moments of the imaginary part of the logarithm of the Riemann zeta function on the critic…
math.NT2016
On the extreme values of the Riemann zeta function on random intervals of the critical line
Joseph Najnudel
In the present paper, we show that under the Riemann hypothesis, and for fixed , the supremum of the real and the imaginary parts of for $t \in [UT -h,…