Affiliation:
1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi 710119, China
Abstract
The high-dimensional D. H. Lehmer problem over quarter intervals is studied. By using the properties of character sum and the estimates of DirichletL-function, the previous result is improved to be the best possible in the case ofq = p, an odd prime withp≡1(mod 4), which is shown by studying the mean square value of the error term.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis