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math.CV2024
Brennan's conjecture holds for semigroups of holomorphic functions
Alexandru Aleman, Athanasios Kouroupis
In the present note, we give a short proof of Brennan's conjecture in the special case of continuous semigroups of holomorphic functions. We apply classical techniques of complex a…
math.CV2024
On universality of general Dirichlet series
Frédéric Bayart, Athanasios Kouroupis
In the present work, we establish sufficient conditions for a Dirichlet series induced by general frequencies to be universal with respect to vertical translations. Our results can…
math.CV2023★ 4 cited
An extension of Bohr's theorem
Ole Fredrik Brevig, Athanasios Kouroupis
The following extension of Bohr's theorem is established: If a somewhere convergent Dirichlet series has an analytic continuation to the half-plane $\mathbb{C}_θ= \{s = σ+it\,:…