On the equation n1n2=n3n4 and mean value of character sums Original Research Article

For Bgreater-or-equal, slanted1 let N(B) denote the number of solutions of the equation n1n2=n3n4 with 1less-than-or-equals, slantniless-than-or-equals, slantB. For a prime p let χ denote a multiplicative character image. In this paper, we obtainimage for some constant C and any ε>0, which improved the corresponding error terms image obtained by A. Ayyad, T. Cochrane and Z.Y. Zheng.