C Hooley - On the Barban-Davenport Halberstam theorem: XIX

hrj:160 - Hardy-Ramanujan Journal, January 1, 2007, Volume 30 - 2007 - https://doi.org/10.46298/hrj.2007.160
On the Barban-Davenport Halberstam theorem: XIXArticle

Authors: C Hooley 1

  • 1 University of Whales

The present paper deals with the dispersion G(x,Q)=kQ0<ak{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(xlogAx) when x/Q where Γ(C) is an explicitly defined function of C.


Volume: Volume 30 - 2007
Published on: January 1, 2007
Imported on: March 3, 2015
Keywords: conjugate sequences,square-free numbers,[MATH]Mathematics [math]

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