On the Barban-Davenport Halberstam theorem: XIX

C Hooley (1)

1 University of Whales

The present paper deals with the dispersion $$G(x,Q)=\sum_{k\leq Q}\sum_{0\frac{1}{12}\{\Gamma(C)+o(1)\}Q^2+O(x \log_{-A}x)$ when $x/Q\rightarrow\infty$ where $\Gamma(C)$ is an explicitly defined function of $C$.

Mots clés: conjugate sequences; square-free numbers

Domaines: Mathématiques [math]

C Hooley. On the Barban-Davenport Halberstam theorem: XIX. Hardy-Ramanujan Journal, 2007, Volume 30 - 2007, pp.56-57. ⟨10.46298/hrj.2007.160⟩. ⟨hal-01112083⟩