The high-dimensional D. H. Lehmer problem over quarter intervals is studied. By using the properties of character sum and the estimates of Dirichlet -function, the previous result is improved to be the best possible in the case of , an odd prime with (mod 4), which is shown by studying the mean square value of the error term.
Tianping Zhang. "High-Dimensional D. H. Lehmer Problem over Quarter Intervals." Abstr. Appl. Anal. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/943794