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arXiv · 2005.00941

Combinations of $L$-functions and Their Non-coincident Zeros for $\sigma>1$

Scott Kirila
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Abstract

The purpose of this note is to build upon work of Booker--Thorne and Righetti concerning zeros of algebraic combinations of $L$-functions. Namely, we show that two generic combinations of functions from a wide class of Euler products have non-coincident zeros in the half-plane $\sigma>1$.

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Scott Kirila. 2020-05-02. Combinations of $L$-functions and Their Non-coincident Zeros for $\sigma>1$. https://doi.org/10.1016/j.jnt.2020.09.011

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