4 citations · 16 across the 30 of their papers we have counts for
7 papers · 1 filter
Large values of Dirichlet polynomials and zero density estimates for the Riemann zeta function
Bryce Kerr
In this paper we obtain some new estimates for the number of large values of Dirichlet polynomials. Our results imply new zero density estimates for the Riemann zeta function which…
An explicit Pólya-Vinogradov inequality via Partial Gaussian sums
Matteo Bordignon, Bryce Kerr
In this paper we obtain a new fully explicit constant for the Pólya-Vinogradov inequality for squarefree modulus. Given a primitive character to squarefree modulus , we prov…
The least primitive root modulo
Bryce Kerr, Kevin McGown, Tim Trudgian
We provide an explicit estimate on the least primitive root mod . We show, in particular, that every prime has a primitive root mod that is less than .
Moments of character sums to composite modulus
Bryce Kerr
In this paper we consider the problem of estimating character sums to composite modulus and obtain some progress towards removing the cubefree restriction in the Burgess bound. Our…
Some multiplicative equations in finite fields
Bryce Kerr
In this paper we consider estimating the number of solutions to multiplicative equations in finite fields when the variables run through certain sets with high additive structure.…
On the distribution of fractions with power denominator
Bryce Kerr
In this paper we obtain a sharp upper bound for the number of solutions to a certain diophantine inequality involving fractions with power denominator. This problem is motivated by…