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math.NT2025
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…
math.NT2025
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…