One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums
The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting linear recurrence formulas. As applications,...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6673594 |
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| _version_ | 1832560152851513344 |
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| author | Xiaoxue Li Li Chen |
| author_facet | Xiaoxue Li Li Chen |
| author_sort | Xiaoxue Li |
| collection | DOAJ |
| description | The main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting linear recurrence formulas. As applications, some asymptotic formulas are obtained. |
| format | Article |
| id | doaj-art-ff67876f3f2b41c0bc8f3717d0ce0e4e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ff67876f3f2b41c0bc8f3717d0ce0e4e2025-02-03T01:28:27ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66735946673594One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss SumsXiaoxue Li0Li Chen1School of Science, Xi’an Aeronautical University, Xi’an, Shaanxi, ChinaSchool of Mathematics, Northwest University, Xi’an, Shaanxi, ChinaThe main purpose of this article is using the analytic methods and the properties of the classical Gauss sums to study the calculating problem of the hybrid power mean of the two-term exponential sums and quartic Gauss sums and then prove two interesting linear recurrence formulas. As applications, some asymptotic formulas are obtained.http://dx.doi.org/10.1155/2021/6673594 |
| spellingShingle | Xiaoxue Li Li Chen One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums Journal of Mathematics |
| title | One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums |
| title_full | One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums |
| title_fullStr | One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums |
| title_full_unstemmed | One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums |
| title_short | One-Kind Hybrid Power Means of the Two-Term Exponential Sums and Quartic Gauss Sums |
| title_sort | one kind hybrid power means of the two term exponential sums and quartic gauss sums |
| url | http://dx.doi.org/10.1155/2021/6673594 |
| work_keys_str_mv | AT xiaoxueli onekindhybridpowermeansofthetwotermexponentialsumsandquarticgausssums AT lichen onekindhybridpowermeansofthetwotermexponentialsumsandquarticgausssums |