4 papers
Large values of for subgroups of characters
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 a th…
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…
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…
The determination of norm-Euclidean cyclic cubic fields
Gustav Kjærbye Bagger, Gustav Kjærbye Bagger, Andrew R. Booker +5
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…