On Generalized D. H. Lehmer's Problem  

作　　者：郑志勇 

机构地区：[1]Department of Mathematics, Wuhan University

出　　处：《Chinese Science Bulletin》1993年第16期1340-1345,共6页

基　　金：Project supported by the Mathematics Tianyuan Foundation.

摘　　要：1 Introduction Suppose q≥5 is an odd number, for any integers a, (a, q)=1, a stands for the solution of congruence ax≡1(modq) in the interval 1≤x≤q-1. We denote L(q) by L(q)={a|a∈Z, 1≤a≤q-1, (a, q)=1, a+a≡1 (mod2)}. (1) On the number of elements in L(q), which is the generalization of D. H. Lehmer’s problem, see Refs. [1] — [3]. Very recently, Zhang conjectured

关 键 词：CHARACTER SUMS GAUSS SUMS Kloosterman SUMS 

分 类 号：N[自然科学总论]