Some new sums related to D. H. Lehmer problem

Title:

Some new sums related to D. H. Lehmer problem

Creator:

Zhang, Han and Zhang, Wenpeng

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:70cf6396-3253-495b-9dde-a70b158485b8
uuid:70cf6396-3253-495b-9dde-a70b158485b8
issn:0011-4642

Subject:

Lehmer number, analytic method, trigonometric sums, asymptotic formula, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

About Lehmer’s number, many people have studied its various properties, and obtained a series of interesting results. In this paper, we consider a generalized Lehmer problem: Let p be a prime, and let N(k; p) denote the number of all 1\leqslant a_{i}\leq p-1 such that a_{1}a_{2}...a_{k}\equiv 1 mod p and 2 | ai + āi + 1, i = 1, 2, ..., k. The main purpose of this paper is using the analytic method, the estimate for character sums and trigonometric sums to study the asymptotic properties of the counting function N(k; p), and give an interesting asymptotic formula for it., Han Zhang, Wenpeng Zhang., and Obsahuje seznam literatury

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

915-922

Source:

Czechoslovak Mathematical Journal | 2015 Volume:65 | Number:4

Harvested from:

CDK

Metadata only:

false