English

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

Number Theory 2023-05-17 v1

Abstract

The purpose of this note is to build upon work of Booker--Thorne and Righetti concerning zeros of algebraic combinations of LL-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 σ>1\sigma>1.

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Cite

@article{arxiv.2005.00941,
  title  = {Combinations of $L$-functions and Their Non-coincident Zeros for $\sigma>1$},
  author = {Scott Kirila},
  journal= {arXiv preprint arXiv:2005.00941},
  year   = {2023}
}

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6 pages