# Moments of zeta and correlations of divisor-sums: IV

@article{Conrey2015MomentsOZ,
title={Moments of zeta and correlations of divisor-sums: IV},
author={Brian Conrey and Jonathan P. Keating},
journal={Research in Number Theory},
year={2015},
volume={2},
pages={1-24}
}
• Published 28 April 2015
• Mathematics
• Research in Number Theory
In this series we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. The present paper begins the general study of what we call Type II sums which utilize a circle method framework and a convolution of shifted convolution sums to obtain all of the lower order terms in the asymptotic formula for the mean square along [T, 2T] of a Dirichlet polynomial of length up to $$T^3$$T3…
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