4 citations · 16 across the 30 of their papers we have counts for
5 papers · 1 filter
Bohr sets generated by polynomials and Coppersmith's method in many variables
Riley Baird, Bryce Kerr, Igor Shparlinski
We obtain bounds on the average size of Bohr sets with coefficients parametrised by polynomials over finite fields and obtain a series of general results and also some sharper resu…
Additive energy of polynomial images
B. Kerr, A. Mohammadi, I. E. Shparlinski
Given a monic polynomial over a residue ring modulo an integer and a discrete interval of $H \le…
Lattices in function fields and applications
Christian Bagshaw, Bryce Kerr
In recent decades, the use of ideas from Minkowski's Geometry of Numbers has gained recognition as a helpful tool in bounding the number of solutions to modular congruences with va…
Weyl sums with multiplicative coefficients and joint equidistribution
Matteo Bordignon, Cynthia Bortolotto, Bryce Kerr
In this paper we generalize a result of Montgomery and Vaughan regarding exponential sums with multiplicative coefcients to the setting of Weyl sums. As applications, we establish…
Large values of the error term in the prime number theorem
Bryce Kerr
Assume the Riemann hypothesis throughout. We obtain some new estimates for the size of the set of large values of the error term in the prime number theorem. Our argument is based…