Add to ORKGWe prove the leading order of a conjecture by Fyodorov, Hiary and Keating, about the maximum of the Riemann zeta function on random intervals along the critical line. More precisely, as T→∞ for a set of t∈[T,2T] of measure (1−o(1))T, we have max|t−u|≤1log∣∣ζ(12+iu)∣∣=(1+o(1))loglogT
We establish sharp upper bounds for the 2kth moment of the Riemann zeta function on the critical lin...
This paper concerns the function S(t), the argument of the Riemann zeta-function along the critical...
We study the distribution of values of the Riemann zeta function $\zeta(s)$ on vertical lines $\Re s...
We show that as $T\to \infty$, for all $t\in [T,2T]$ outside of a set of measure $\mathrm{o}(T)$, $$...
We consider a model of the Riemann zeta function on the critical axis and study its maximum over int...
Moments of moments of the Riemann zeta function, defined by \[ \text{MoM}_T (k,\beta) = \frac{1}{T} ...
We combine our version of the resonance method with certain convolution formulas for ζ(s) and lo...
By analogy with conjectures for random matrices, Fyodorov-Hiary-Keating and Fyodorov-Keating propose...
We investigate the distribution of the Riemann zeta-function on the line Re(s) = σ. For ½ < σ ≤ 1 we...
We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a m...
The 2kth pseudomoments of the Riemann zeta function (s) are, following Conrey and Gamburd, the 2kth ...
Continuation of Fyodorov--Keating conjectures, connections with random multiplicative functions
Let Δ(x) and E(t) denote respectively the remainder terms in the Dirichlet divisor problem and the m...
We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-f...
In Arguin & Tai (2018), the authors prove the convergence of the two-overlap distribution at low tem...
We establish sharp upper bounds for the 2kth moment of the Riemann zeta function on the critical lin...
This paper concerns the function S(t), the argument of the Riemann zeta-function along the critical...
We study the distribution of values of the Riemann zeta function $\zeta(s)$ on vertical lines $\Re s...
We show that as $T\to \infty$, for all $t\in [T,2T]$ outside of a set of measure $\mathrm{o}(T)$, $$...
We consider a model of the Riemann zeta function on the critical axis and study its maximum over int...
Moments of moments of the Riemann zeta function, defined by \[ \text{MoM}_T (k,\beta) = \frac{1}{T} ...
We combine our version of the resonance method with certain convolution formulas for ζ(s) and lo...
By analogy with conjectures for random matrices, Fyodorov-Hiary-Keating and Fyodorov-Keating propose...
We investigate the distribution of the Riemann zeta-function on the line Re(s) = σ. For ½ < σ ≤ 1 we...
We consider partial sums of a weighted Steinhaus random multiplicative function and view this as a m...
The 2kth pseudomoments of the Riemann zeta function (s) are, following Conrey and Gamburd, the 2kth ...
Continuation of Fyodorov--Keating conjectures, connections with random multiplicative functions
Let Δ(x) and E(t) denote respectively the remainder terms in the Dirichlet divisor problem and the m...
We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-f...
In Arguin & Tai (2018), the authors prove the convergence of the two-overlap distribution at low tem...
We establish sharp upper bounds for the 2kth moment of the Riemann zeta function on the critical lin...
This paper concerns the function S(t), the argument of the Riemann zeta-function along the critical...
We study the distribution of values of the Riemann zeta function $\zeta(s)$ on vertical lines $\Re s...