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Open Mathematics
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Open Mathematics
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Open Mathematics
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https://dx.doi.org/10.1515/mat...
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One kind power mean of the hybrid Gauss sums

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:Walter de Gruyter GmbHJournal:Open Mathematics, volume 16, pages 531-538 (eissn: 2391-5455, Copyright policy )
Authors: Lan Qi; Wenpeng Zhang;

doi: 10.1515/math-2018-0052

One kind power mean of the hybrid Gauss sums

Abstract

Abstract In this paper, we use the analysis method and the properties of trigonometric sums to study the computational problem of one kind power mean of the hybrid Gauss sums. After establishing some relevant lemmas, we give an exact computational formula for it. As an application of our result, we give an exact formula for the number of solutions of one kind diagonal congruence equation mod p, where p be an odd prime.

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Keywords

11l05, power mean, Gauss sums, gauss sums, QA1-939, computational formula, Trigonometric and exponential sums (general theory), Gauss and Kloosterman sums; generalizations, 11l03, Mathematics, analysis method

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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