Bryce Kerr

activity

20122026

most citedSome mixed character sums

4 citations · 16 across the 30 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

3 papers · 2 filters

math.NT2018

Bilinear sums of Kloosterman sums, multiplicative congruences and average values of the divisor function over families of arithmetic progressions

Bryce Kerr, Igor E. Shparlinski

We obtain several asymptotic formulas for the sum of the divisor function $τ (n)$ with $n \leq x$ in an arithmetic progressions $n \equiv a (mod q)$ on average over $a$ from a set of…

math.NT2018

On the constant in the Polya-Vinogradov inequality

Bryce Kerr

In this paper we obtain a new constant in the Pólya-Vinogradov inequality. Our argument follows previously established techniques which use the Fourier expansion of an interval to…

math.NT2018

Points on polynomial curves in small boxes modulo an integer

Bryce Kerr, Ali Mohammadi

Given an integer $q$ and a polynomial $f \in Z_{q} [X]$ of degree $d$ with coefficients in the residue ring $Z_{q} = Z / q Z,$ we obtain new results concerni…