Averages of long Dirichlet polynomials
RIVISTA DI MATEMATICA DELLA UNIVERSITA DI PARMA(2021)
Abstract
We consider the asymptotic behavior of the mean square of truncations of the Dirichlet series of zeta(s)(k). We discuss the connections of this problem with that of the variance of the divisor function in short intervals and in arithmetic progressions, reviewing the recent results on this topic. Finally, we show how these results can all be proved assuming a suitable version of the moments conjecture.
MoreTranslated text
Key words
Moments conjecture,divisor function in short intervals,divisor function in arithmetic progressions,Riemann zeta-function
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined