  In this series we examine the calculation of the $2k$th moment and shifted
moments of the Riemann zeta-function on the critical line using long Dirichlet
polynomials and divisor correlations. The present paper is concerned with the
precise input of the conjectural formula for the classical shifted convolution
problem for divisor sums so as 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 $T^2$ with divisor functions as coefficients.
