High-Dimensional D. H. Lehmer Problem over Quarter Intervals

الملخص EN

The high-dimensional D.

H.

Lehmer problem over quarter intervals is studied.

By using the properties of character sum and the estimates of Dirichlet L -function, the previous result is improved to be the best possible in the case of q   =   p , an odd prime with p ≡ 1 (mod 4), which is shown by studying the mean square value of the error term.