Adam J. Harper

most citedThe typical size of character and zeta sums is

o (x)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2023★ 1 cited

The typical size of character and zeta sums is $o (x)$

Adam J. Harper

We prove conjecturally sharp upper bounds for the Dirichlet character moments $\frac{1}{r - 1} \sum_{χ mod r} ∣ \sum_{n \leq x} χ (n) ∣^{2 q}$ , where $r$ is a large prime, $1…

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 =…

The typical size of character and zeta sums is o(x​)

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

The typical size of character and zeta sums is $o (x)$

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