On the hybrid power mean of two kind different trigonometric sums
The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting computational formula for it.
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-06-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2019-0042 |
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Article |
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doaj-2659aab6de254a7388d2b6855eeef4a12021-09-06T19:20:11ZengDe GruyterOpen Mathematics2391-54552019-06-0117151952610.1515/math-2019-0042math-2019-0042On the hybrid power mean of two kind different trigonometric sumsZhuoyu Chen0Wenpeng Zhang1School 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 using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting computational formula for it.https://doi.org/10.1515/math-2019-0042the quartic gauss sumstwo-term exponential sumshybrid power meancomputational formula11l0511l07 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhuoyu Chen Wenpeng Zhang |
| spellingShingle |
Zhuoyu Chen Wenpeng Zhang On the hybrid power mean of two kind different trigonometric sums Open Mathematics the quartic gauss sums two-term exponential sums hybrid power mean computational formula 11l05 11l07 |
| author_facet |
Zhuoyu Chen Wenpeng Zhang |
| author_sort |
Zhuoyu Chen |
| title |
On the hybrid power mean of two kind different trigonometric sums |
| title_short |
On the hybrid power mean of two kind different trigonometric sums |
| title_full |
On the hybrid power mean of two kind different trigonometric sums |
| title_fullStr |
On the hybrid power mean of two kind different trigonometric sums |
| title_full_unstemmed |
On the hybrid power mean of two kind different trigonometric sums |
| title_sort |
on the hybrid power mean of two kind different trigonometric sums |
| publisher |
De Gruyter |
| series |
Open Mathematics |
| issn |
2391-5455 |
| publishDate |
2019-06-01 |
| description |
The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting computational formula for it. |
| topic |
the quartic gauss sums two-term exponential sums hybrid power mean computational formula 11l05 11l07 |
| url |
https://doi.org/10.1515/math-2019-0042 |
| work_keys_str_mv |
AT zhuoyuchen onthehybridpowermeanoftwokinddifferenttrigonometricsums AT wenpengzhang onthehybridpowermeanoftwokinddifferenttrigonometricsums |
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1717777142776856576 |