4 citations · 16 across the 30 of their papers we have counts for
40 papers
Large values of over sets of characters with small product set
Pranendu Darbar, Bryce Kerr, Marc Munsch +1
We obtain (conditional and unconditional) results on large values of -functions in the critical strip when the character runs through the ra…
The infinitude of square-free palindromes
Daniel R. Johnston, Bryce Kerr
We settle an open problem regarding palindromes; that is, positive integers which are the same when written forwards and backwards. In particular, we prove that for any fixed base…
The determination of norm-Euclidean cyclic cubic fields
Gustav Kjærbye Bagger, Andrew R. Booker, Bryce Kerr +3
It is known on the Generalised Riemann Hypothesis that there are precisely cyclic cubic fields that are norm-Euclidean. Unconditionally, there is a gap between analytic estima…
Metric Poissonian pair correlation for real sequences and energy estimates
Bryce Kerr, Hongliang Wang
We establish new conditions under which a sequence of real numbers has metric Poissonian pair correlation. These conditions strengthen results of Aistleitner, El-Baz and Munsch (20…
Zeros of -functions and large partial sums of Dirichlet coefficients
Bryce Kerr, Oleksiy Klurman, Jesse Thorner
Let be an -function that satisfies a weak form of the generalized Ramanujan conjecture. We prove that large partial sums of str…
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…