The Generalized Quadratic Gauss Sum and Its Fourth Power Mean
In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-03-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2227-7390/7/3/258 |
| _version_ | 1829489226291347456 |
|---|---|
| author | Shimeng Shen Wenpeng Zhang |
| author_facet | Shimeng Shen Wenpeng Zhang |
| author_sort | Shimeng Shen |
| collection | DOAJ |
| description | In this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it. |
| first_indexed | 2024-12-15T00:03:40Z |
| format | Article |
| id | doaj.art-b785c4f197f8439eb8e46ad60b3896f6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-15T00:03:40Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b785c4f197f8439eb8e46ad60b3896f62022-12-21T22:42:49ZengMDPI AGMathematics2227-73902019-03-017325810.3390/math7030258math7030258The Generalized Quadratic Gauss Sum and Its Fourth Power MeanShimeng Shen0Wenpeng Zhang1School of Mathematics, Northwest University, Xi’an 710127, ChinaSchool of Mathematics, Northwest University, Xi’an 710127, ChinaIn this article, our main purpose is to introduce a new and generalized quadratic Gauss sum. By using analytic methods, the properties of classical Gauss sums, and character sums, we consider the calculating problem of its fourth power mean and give two interesting computational formulae for it.http://www.mdpi.com/2227-7390/7/3/258the generalized quadratic Gauss sumsthe fourth power meananalytic methodcomputational formula |
| spellingShingle | Shimeng Shen Wenpeng Zhang The Generalized Quadratic Gauss Sum and Its Fourth Power Mean Mathematics the generalized quadratic Gauss sums the fourth power mean analytic method computational formula |
| title | The Generalized Quadratic Gauss Sum and Its Fourth Power Mean |
| title_full | The Generalized Quadratic Gauss Sum and Its Fourth Power Mean |
| title_fullStr | The Generalized Quadratic Gauss Sum and Its Fourth Power Mean |
| title_full_unstemmed | The Generalized Quadratic Gauss Sum and Its Fourth Power Mean |
| title_short | The Generalized Quadratic Gauss Sum and Its Fourth Power Mean |
| title_sort | generalized quadratic gauss sum and its fourth power mean |
| topic | the generalized quadratic Gauss sums the fourth power mean analytic method computational formula |
| url | http://www.mdpi.com/2227-7390/7/3/258 |
| work_keys_str_mv | AT shimengshen thegeneralizedquadraticgausssumanditsfourthpowermean AT wenpengzhang thegeneralizedquadraticgausssumanditsfourthpowermean AT shimengshen generalizedquadraticgausssumanditsfourthpowermean AT wenpengzhang generalizedquadraticgausssumanditsfourthpowermean |