30 citations · 125 across the 40 of their papers we have counts for
41 papers
Mittag-Leffler type theorems for Helson zeta-functions
Johan Andersson
Let be a zero-free analytic function on . We prove that there exists an entire zero-free function and a Helson zeta-function $ζ_χ(s)=\sum_{n=1}^\infty χ(n) n…
Notes on Universality in Short Intervals and Exponential Shifts
Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė +6
We improve a recent universality theorem for the Riemann zeta-function in short intervals due to Antanas Laurinčikas with respect to the length of these intervals. Moreover, we pro…
Discrete universality, continuous universality and hybrid universality are equivalent
Johan Andersson
Recently Sourmelidis proved that the discrete universality theorem is equivalent to the continuous universality theorem for zeta-functions. He treats both the zero-free universalit…
Polynomial approximation avoiding values in sets II
Johan Andersson
We prove some results on when functions on compact sets can be approximated by polynomials avoiding values in given sets. We also prove some higher dimensiona…
On the growth of the norm of the Riemann zeta-function on the line Re
Johan Andersson
We prove that if and is real then if and only if . Furthermore, we show the omega estimates $$ \int_T^{T+δ} |ζ(1+…
Joint universality on the half plane of absolute convergence
Johan Andersson
We prove joint universality theorems on the half plane of absolute convergence for general classes of Dirichlet series with an Euler-product, where in addition to vertical shifts w…