Published January 5, 2023
| Version v1
Journal article
Open
Discrete Measures and the Riemann Hypothesis of Some $L$-Function in the Selberg Class
Authors/Creators
- 1. International Scientific Research and Welfare Organization
- 2. University of Monastir,
- 3. École Supérieure de commerce
Description
Given a function $F$ from the Selberg class, we show that if $F$ has a polynomial Euler product, then the generalized Riemann hypothesis is equivalent to a problem on the rate of convergence of certain discrete measures defined on the positive real numbers.