Marius Dundulis

collaborators

2 papers

math.NT2026

The discrete second moment of the Riemann zeta-function along powers of Gram points

Marius Dundulis, Ramūnas Garunkštis, Antanas Laurinčikas +1

Let $t_{k}$ be the Gram points, and let $d \geq 1$ be a fixed integer. Put $η_{d} = 1/ (2^{d + 1} - 2)$ , $σ_{d} = 1 - η_{d} / d$ , and $σ_{d}^{*} = 7/8$ for $d = 2$ and $σ_{d}^{*} = σ_{d}$ otherwise. We prove that, unifo…

math.NT2026

Higher derivatives of the Gram function

Marius Dundulis, Ramūnas Garunkštis, Antanas Laurinčikas +1

We study the nonlinear phenomenon of the asymptotics of higher-order derivatives of the Gram function $t_{u}$ . We also prove the uniform distribution and continuous uniform distribut…