Zeros of partial sums of $L$-functions

Arindam Roy, Akshaa Vatwani

We consider a certain class of multiplicative functions $f:\mathbb{N}\to \mathbb{C}$. Let $F(s)={\sum }_{n=1}^{\infty }f(n)n^{-s}$ be the associated Dirichlet series and $F_N(s…