4 citations · 16 across the 30 of their papers we have counts for
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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 with in an arithmetic progressions on average over from a set of…
A new sum-product estimate in prime fields
Changhao Chen, Bryce Kerr, Ali Mohammadi
In this paper we obtain a new sum-product estimate in prime fields. In particular, we show that if satisfies then $$ \max\{|A\pm A|, |…
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…
Points on polynomial curves in small boxes modulo an integer
Bryce Kerr, Ali Mohammadi
Given an integer and a polynomial of degree with coefficients in the residue ring we obtain new results concerni…