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math.NT2023★ 1 cited
Some examples of well-behaved Beurling number systems
Frederik Broucke, Gregory Debruyne, Szilárd Révész
We investigate the existence of well-behaved Beurling number systems, which are systems of Beurling generalized primes and integers which admit a power saving in the error term of…
math.NT2023★ 1 cited
On the Lindelöf hypothesis for general sequences
Frederik Broucke, Sebastian Weishäupl
In a recent paper, Gonek, Graham, and Lee introduced a notion of the Lindelöf hypothesis (LH) for general sequences which coincides with the usual Lindelöf hypothesis for the Riema…
math.NT2023
A note on Bohr's theorem for Beurling integer systems
Frederik Broucke, Athanasios Kouroupis, Karl-Mikael Perfekt
Given a sequence of frequencies , a corresponding generalized Dirichlet series is of the form . We are interested in multiplicati…