Simultaneous non vanishing of $GL(3)$ $L$-functions

Robin Frot

Simultaneous non vanishing of $GL(3)$ $L$-functions

Number Theory 2021-12-16 v2

Authors: Robin Frot

Abstract

The main objective of this article is to compute a first moment for product of Dirichlet and twisted self-dual $GL(3)$ $L$ -functions. We discuss the possible simultaneous non vanishing at the central point. We use properties of symmetric squares $L$ -functions.

Keywords

l-functions dirichlet characters

Cite

@article{arxiv.2006.06437,
  title  = {Simultaneous non vanishing of $GL(3)$ $L$-functions},
  author = {Robin Frot},
  journal= {arXiv preprint arXiv:2006.06437},
  year   = {2021}
}

Comments

The result is conditioned by a false hypothesis

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