[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2009.46.3.493

D. H. LEHMER PROBLEM OVER HALF INTERVALS

Xu, Zhefeng (COLLEGE OF SCIENCE XI'AN JIAOTONG UNIVERSITY, DEPARTMENT OF MATHEMATICS NORTHWEST UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.46, no.3, 2009 , pp. 493-511 More about this Journal

Abstract

Let $q\;{\geq}\;3$ be an odd integer and a be an integer coprime to q. Denote by N(a, q) the number of pairs of integers b, c with $bc\;{\equiv}\;a$ (mod q), $1\;{\leq}\;b$ , $c\;{\leq}\;{\frac{q-1}{2}}$ and with b, c having different parity. The main purpose of this paper is to study the sum $${\sum}^{$ and obtain a sharp asymptotic formula.

Keywords

error term; mean value; asymptotic formula;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference

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