On the Barban-Davenport Halberstam theorem: XIXArticle
Authors: C Hooley 1
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C Hooley
1 University of Whales
The present paper deals with the dispersion G(x,Q)=∑k≤Q∑0<a≤k{S(x;a,k)−f(a,k)x}2
for large Q, and improves the lower bound by proving that G(x,Q)>112{Γ(C)+o(1)}Q2+O(xlog−Ax) when x/Q→∞ where Γ(C) is an explicitly defined function of C.