## A transition formula for mean values of Dirichlet polynomials

Tom Zhang

University of New Hampshire

April 21, 2014

Let \[ f(t)=\sum_{N

Assume \[ N=T^c \] with a constant \(c > 0\). In the case \(c 1\) we have \[ I\ll N\sum_{N 1\)) to a square mean of the linear exponential sum \[ \sum_{N