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The Hybrid Power Mean of Sixth Gauss Sums and the Two‐Term Exponential Sums.

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Title: The Hybrid Power Mean of Sixth Gauss Sums and the Two‐Term Exponential Sums.
Authors: Wang, Xuan1 (AUTHOR) xuanwang@stumail.nwu.edu.cn, Hazra, Arpan1 (AUTHOR) ahazra@wiley.com
Source: Journal of Applied Mathematics. 7/31/2025, Vol. 2025, p1-6. 6p.
Subjects: Gaussian sums, Exponential sums, Identities (Mathematics), Mathematics, Mathematical analysis, Number theory
Abstract: The principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two‐term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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Header DbId: egs
DbLabel: Engineering Source
An: 187056721
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PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
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  Data: The Hybrid Power Mean of Sixth Gauss Sums and the Two‐Term Exponential Sums.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xuan%22">Wang, Xuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xuanwang@stumail.nwu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Hazra%2C+Arpan%22">Hazra, Arpan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ahazra@wiley.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 7/31/2025, Vol. 2025, p1-6. 6p.
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  Data: <searchLink fieldCode="DE" term="%22Gaussian+sums%22">Gaussian sums</searchLink><br /><searchLink fieldCode="DE" term="%22Exponential+sums%22">Exponential sums</searchLink><br /><searchLink fieldCode="DE" term="%22Identities+%28Mathematics%29%22">Identities (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Number+theory%22">Number theory</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The principal aim of this paper is to analyze the hybrid power mean value of sixth Gauss sums and two‐term exponential sums. It will use various analytic methods and elementary methods to develop unique identities for these types of sums. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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    Identifiers:
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        Value: 10.1155/jama/8550894
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      – Code: eng
        Text: English
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        PageCount: 6
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    Subjects:
      – SubjectFull: Gaussian sums
        Type: general
      – SubjectFull: Exponential sums
        Type: general
      – SubjectFull: Identities (Mathematics)
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Mathematical analysis
        Type: general
      – SubjectFull: Number theory
        Type: general
    Titles:
      – TitleFull: The Hybrid Power Mean of Sixth Gauss Sums and the Two‐Term Exponential Sums.
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            NameFull: Wang, Xuan
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            NameFull: Hazra, Arpan
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            – D: 31
              M: 07
              Text: 7/31/2025
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              Y: 2025
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              Value: 2025
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