Adam J Harper

activity

20102026

most citedSharp conditional bounds for moments of the Riemann zeta function

57 citations · 242 across the 23 of their papers we have counts for

collaborators

Showing math.PRShow all

3 papers · 1 filter

math.PR2015

Maxima of a randomized Riemann zeta function, and branching random walks

Louis-Pierre Arguin, David Belius, Adam J. Harper

A recent conjecture of Fyodorov--Hiary--Keating states that the maximum of the absolute value of the Riemann zeta function on a typical bounded interval of the critical line is $\e…

math.PR2014

Pickands' constant $H_{α}$ does not equal $1/Γ (1/ α)$ , for small $α$

Adam J. Harper

Pickands' constants $H_{α}$ appear in various classical limit results about tail probabilities of suprema of Gaussian processes. It is an often quoted conjecture that perhaps $H_α =…

math.PR2010★ 33 cited

Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function

Adam J. Harper

We prove new lower bounds for the upper tail probabilities of suprema of Gaussian processes. Unlike many existing bounds, our results are not asymptotic, but supply strong informat…

Maxima of a randomized Riemann zeta function, and branching random walks

Pickands' constant Hα​ does not equal 1/Γ(1/α), for small α

Bounds on the suprema of Gaussian processes, and omega results for the sum of a random multiplicative function

Pickands' constant $H_{α}$ does not equal $1/Γ (1/ α)$ , for small $α$