Conditional estimates for ▫$L$▫-functions in the Selberg classPalojärvi, Neea (Avtor) Simonič, Aleksander (Avtor) Selberg classGeneralized Riemann hypothesisBandlimited functionsWe provide an explicit ▫$O\left(\log^{2}{T}\right)$▫-term of the celebrated Atkinson's formula for the error term of the second power moment of the Riemann zeta-function on the critical line. As an application, we obtain an explicit version of well-known estimate ▫$E(T)\ll_{\varepsilon}T^{\frac{1}{3}+\varepsilon}$▫.20262026-02-13 11:04:53Članek v reviji22652UDK: 51ISSN pri članku: 0022-314XDOI: 10.1016/j.jnt.2025.12.014COBISS.SI-ID: 268394243sl