5 papers
Lindelöf's hypothesis is true and Riemann's one is not
Lev Aizenberg
We present an elementary, short and simple proof of the validity of the Lindelöf hypothesis about the Riemann zeta-function. The obtained estimate and classical results by Bohr-Lan…
Geometric generalizations in Kresin-Maz'ya Sharp Real-Part Theorems
Lev Aizenberg, Alekos Vidras
In the present article we give geometric generalizations of the estimates from Chapters 5,6,7 from \cite{krem:gnus}, while extending their sharpness to new cases.
Bohr and Rogosinski abscissas for ordinary Dirichlet series
Lev Aizenberg, Victor Gotlib, Alekos Vidras
We prove that the abscissas of Bohr and Rogosinski for ordinary Dirichlet series, mapping the right half-plane into the bounded convex domain are independent…
Generalization of results about the Bohr radius for power series
Lev Aizenberg
The Bohr radius for power series of holomorphic functions mapping a multidimensional Reinhardt domain into the convex domain in the complex plane is independent of this convex doma…
Multidimensional analogues of Bohr's theorem on power series
Lev Aizenberg
Generalizing the classical result of Bohr, we show that if an n-variable power series converges in an n-circular bounded complete domain D and its sum has modulus less than 1, then…