  In this series of papers 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 completes 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 arbitrary length with divisor functions as
coefficients.
