On sums of squares of the Riemann zeta-function on the critical line

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69405A discussion involving the evaluation of the sum $\sum_{0<γ\le T} |ζ(1/2+iγ)|^2$ is presented, where $γ$ denotes imaginary parts of complex zeros of the Riemann zeta-function $ζ(s)$. Three theorems involving certain integrals related to this sum are proved, and the sum is unconditionally shown to be $\ll T\log^2T\log\log T$.16 pagesNumber Theory11M06On sums of squares of the Riemann zeta-function on the critical linetext