2 papers
math.NT2026
Functional Equations Characterize Dirichlet Characters
Ghaith Hiary, Ali Saraeb
We prove a converse theorem for functional equations of Dirichlet -functions. Under mild assumptions, we prove that these functional equations for -series of the form $\sum_{…
math.NT2026
Unconditional estimates on the argument of Dirichlet -functions with applications to low-lying zeros
Ghaith Hiary, Tianyu Zhao
We make explicit a result of Selberg on the argument of Dirichlet -functions averaged over non-principal characters modulo a prime . As a corollary, we show for all sufficien…