5 problems

Let $\chi$ be a primitive Dirichlet character of modulus $r$, let $L(s,\chi)$ be its Dirichlet $L$-function, and let $\xi(s,\chi)$ be the associated completed function. For…

Let $\{\Lambda_n\}$ be the new sequence introduced in the discretized Keiper/Li approach, and let RH denote the Riemann Hypothesis. Li's criterion conjecture. Li's criterion fully…

Let $\Lambda_n$ be the sequence defined by … where $\Theta_n(\theta)$ is the sum of the $n$ angles subtended by the real segments $[1-2m,2m]$ from the point $\frac12+{\rm i}T$, for…

Let $F\in\mathcal{S}^{\sharp \flat }(\sigma_0,\sigma_1)$, let $\tau$ be the parameter in the generalized Li coefficients $\lambda_F(n,\tau)$, and consider the half-plane…

Let $K$ be a number field, let $\xi_K$ denote its Dedekind xi-function, and define $\kappa_n$ as the coefficients in the series expansion of … The formulas established formally for…