  In this article, we prove an asymptotic formula for mean values of long
Dirichlet polynomials with higher order shifted divisor functions, assuming a
smoothed additive divisor conjecture for higher order shifted divisor
functions. As a consequence of this work, we prove special cases of conjectures
of Conrey-Keating on mean values of long Dirichlet polynomials with higher
order shifted divisor functions as coefficients.
