A new fourth power mean of two-term exponential sums
The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities. As an application of our results, we also obtain a sharp asymptotic form...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-05-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2019-0034 |
| _version_ | 1818716612937646080 |
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| author | Li Chen Xiao Wang |
| author_facet | Li Chen Xiao Wang |
| author_sort | Li Chen |
| collection | DOAJ |
| description | The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities. As an application of our results, we also obtain a sharp asymptotic formula for the fourth power mean. |
| first_indexed | 2024-12-17T19:22:02Z |
| format | Article |
| id | doaj.art-0c479ff9392f481d85dd3e52b0492148 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T19:22:02Z |
| publishDate | 2019-05-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-0c479ff9392f481d85dd3e52b04921482022-12-21T21:35:29ZengDe GruyterOpen Mathematics2391-54552019-05-0117140741410.1515/math-2019-0034math-2019-0034A new fourth power mean of two-term exponential sumsLi Chen0Xiao Wang1School of Mathematics, Northwest University, Xi’an, Shaanxi, P. R. ChinaSchool of Mathematics, Northwest University, Xi’an, Shaanxi, P. R. ChinaThe main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities. As an application of our results, we also obtain a sharp asymptotic formula for the fourth power mean.https://doi.org/10.1515/math-2019-0034two-term exponential sumsfourth power meanelementary methodidentityasymptotic formula11l0511l07 |
| spellingShingle | Li Chen Xiao Wang A new fourth power mean of two-term exponential sums Open Mathematics two-term exponential sums fourth power mean elementary method identity asymptotic formula 11l05 11l07 |
| title | A new fourth power mean of two-term exponential sums |
| title_full | A new fourth power mean of two-term exponential sums |
| title_fullStr | A new fourth power mean of two-term exponential sums |
| title_full_unstemmed | A new fourth power mean of two-term exponential sums |
| title_short | A new fourth power mean of two-term exponential sums |
| title_sort | new fourth power mean of two term exponential sums |
| topic | two-term exponential sums fourth power mean elementary method identity asymptotic formula 11l05 11l07 |
| url | https://doi.org/10.1515/math-2019-0034 |
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