On Classical Gauss Sums and Some of Their Properties

The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.

Bibliographic Details
Main Author: Li Chen
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/10/11/625
id doaj-05530baba38c45ddab4a588226f303bb
record_format Article
spelling doaj-05530baba38c45ddab4a588226f303bb2020-11-24T23:19:46ZengMDPI AGSymmetry2073-89942018-11-01101162510.3390/sym10110625sym10110625On Classical Gauss Sums and Some of Their PropertiesLi Chen0School of Mathematics, Northwest University, Xi’an 710127, ChinaThe goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.https://www.mdpi.com/2073-8994/10/11/625third-order characterclassical Gauss sumsrational polynomialsanalytic methodrecursive formula
collection DOAJ
language English
format Article
sources DOAJ
author Li Chen
spellingShingle Li Chen
On Classical Gauss Sums and Some of Their Properties
Symmetry
third-order character
classical Gauss sums
rational polynomials
analytic method
recursive formula
author_facet Li Chen
author_sort Li Chen
title On Classical Gauss Sums and Some of Their Properties
title_short On Classical Gauss Sums and Some of Their Properties
title_full On Classical Gauss Sums and Some of Their Properties
title_fullStr On Classical Gauss Sums and Some of Their Properties
title_full_unstemmed On Classical Gauss Sums and Some of Their Properties
title_sort on classical gauss sums and some of their properties
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2018-11-01
description The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.
topic third-order character
classical Gauss sums
rational polynomials
analytic method
recursive formula
url https://www.mdpi.com/2073-8994/10/11/625
work_keys_str_mv AT lichen onclassicalgausssumsandsomeoftheirproperties
_version_ 1725577045447016448