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

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Showing 2014Show all

2 papers · 1 filter

math.NT2014★ 16 cited

Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers

Adam J. Harper

We investigate exponential sums over those numbers $\leq x$ all of whose prime factors are $\leq y$ . We prove fairly good minor arc estimates, valid whenever $\log^{3}x \leq y \leq…

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 =…

Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers

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

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