# The hybrid power mean of the generalized Gauss sums

The hybrid power mean of the generalized Gauss sums The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime with p ≡ 1 mod 3 $p\equiv 1\operatorname{mod}\ 3$ , and give some exact computational formulas for this kind hybrid power mean. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Difference Equations Springer Journals

# The hybrid power mean of the generalized Gauss sums

, Volume 2017 (1) – Aug 7, 2017
9 pages

/lp/springer_journal/the-hybrid-power-mean-of-the-generalized-gauss-sums-ojNq34jbDL
Publisher
Springer International Publishing
Subject
Mathematics; Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations
eISSN
1687-1847
D.O.I.
10.1186/s13662-017-1277-0
Publisher site
See Article on Publisher Site

### Abstract

The main purpose of this paper is using the analytic method and the orthogonal properties of the character sums to study the computational problem of one kind hybrid power mean of the generalized Gauss sums mod p $\operatorname{mod}\ p$ , an odd prime with p ≡ 1 mod 3 $p\equiv 1\operatorname{mod}\ 3$ , and give some exact computational formulas for this kind hybrid power mean.

### Journal

Published: Aug 7, 2017

## You’re reading a free preview. Subscribe to read the entire article.

### DeepDyve is your personal research library

It’s your single place to instantly
that matters to you.

over 18 million articles from more than
15,000 peer-reviewed journals.

All for just $49/month ### Explore the DeepDyve Library ### Search Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly ### Organize Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place. ### Access Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals. ### Your journals are on DeepDyve Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more. All the latest content is available, no embargo periods. DeepDyve ### Freelancer DeepDyve ### Pro Price FREE$49/month
\$360/year

Save searches from
PubMed

Create lists to

Export lists, citations