Our main result is to answer a question of Michel Balazard by giving a Dirichlet series with only one zero in its half-plane of convergence. At the end of the paper we also give several sufficient conditions for the Generalized Riemann Hypothesis and ask if any of them are true.
On a conjecture of Erdös and certain Dirichlet series
A segment of Euler product associated to a certain Dirichlet series
Non-vanishing of Dirichlet series with periodic coefficients
![QR code for arXiv:1812.11880 [math.NT]](http://oss.arxitics.com/images/favicon.svg)