Article ID Journal Published Year Pages File Type
4594655 Journal of Number Theory 2010 7 Pages PDF
Abstract

Let q⩾2q⩾2 be an integer, χ be any non-principal character mod q  , and H=H(q)⩽qH=H(q)⩽q. In this paper the authors prove some estimates for character sums of the formW(χ,H;q)=∑n∈F(H)χ(n), whereF(H)={n∈Z|(n,q)=1,1⩽n,n¯⩽q,|n−n¯|⩽H},n¯ is defined by nn¯≡1(modq).

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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