Zeros of $L(s)+L(2s)+\cdots +L(Ns)$ in the region of absolute convergence

Łukasz Pańkowski, Mattia Righetti

In this paper we show that for every Dirichlet $L$-function $L(s,\chi )$ and every $N\ge 2$ the Dirichlet series $L(s,\chi )+L(2s,\chi )+\cdots +L(Ns,\chi )$ have infinitely many zeros for $\sigma >1$.…