4 citations · 16 across the 30 of their papers we have counts for
41 papers
A simpler proof that there are no Landau--Siegel zeros
Bryce Kerr
This paper simplifies the recent OpenAI proof that there are no Landau--Siegel zeros.
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…