Aleksandar Ivić
Published 2018-01-04Version 1
A discussion involving the evaluation of the sum $$\sum_{T<\g\le T+H}|\zeta(1/2+i\gamma)|^2$$ and some related integrals is presented, where $\gamma\,(>0)$ denotes imaginary parts of complex zeros of the Riemann zeta-function $\zeta(s)$. It is shown unconditionally that the above sum is $\,\ll H\log^2T\log\log T\,$ for $\,T^{2/3}\log^4T \ll H \le T$.
On sums of squares of the Riemann zeta-function on the critical line
On the divisor function and the Riemann zeta-function in short intervals
On the moments of the Riemann zeta-function in short intervals
![QR code for arXiv:1801.01289 [math.NT]](http://oss.arxitics.com/images/favicon.svg)