On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo $ p

The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol modulo p, an odd prime, and give an interesti...

Full description

Saved in:
Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 7; pp. 6961 - 6974
Main Authors Zhang, Wenpeng, Meng, Yuanyuan
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
calculating formula
elementary method
the sixth power mean
the two-term exponential sums
Online AccessGet full text

Cover

Abstract The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol modulo p, an odd prime, and give an interesting calculating formula for it.
AbstractList The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem of one kind sixth power mean of the two-term exponential sums weighted by Legendre's symbol modulo p, an odd prime, and give an interesting calculating formula for it.
Author Zhang, Wenpeng
Meng, Yuanyuan
Author_xml – sequence: 1
  givenname: Wenpeng
  surname: Zhang
  fullname: Zhang, Wenpeng
– sequence: 2
  givenname: Yuanyuan
  surname: Meng
  fullname: Meng, Yuanyuan
BookMark eNptkE1r20AURYeQQlLHu_6Atyh0U6XzJY20LCFtDQZvmrV4Gr2xx5U0ZmaC439fuzYlhKze43LuWdyP7HoKEzH2SfB71Sj9bcS8uZdcCs3rK3YrtVFF1dT19av_hs1T2nJ-pKSWRt8yt5ogbwiSf8kb2IU9RRgJJwgOjn7446ce8j4UmeII9LI7hlP2OEB6HhPsya83mXroDrCkNU19pC8J0mHswgBj6J-HAJ9hd8c-OBwSzS93xp5-PP5--FUsVz8XD9-XhVWmzoVTqKh3tqLGldhhY6jmhpSSpGurCCtVVqUQruaKoxayN6Uy3ApC1zdk1Ywtzt4-4LbdRT9iPLQBffsvCHHdYszeDtQaoUqtZVdXRmhbyU5x56w1upHaIT-5vp5dNoaUIrn_PsHb0-TtafL2MvkRl29w6zNmH6Yc0Q_vl_4CLYCHhg
CitedBy_id crossref_primary_10_3934_math_2024469
Cites_doi 10.1016/0022-314X(77)90010-5
10.3934/math.2020480
10.1016/j.jnt.2013.10.022
10.1007/s10587-014-0082-0
10.1515/math-2017-0014
10.1007/978-1-4757-5579-4
10.1515/math-2017-0104
10.1515/math-2019-0034
10.1007/978-1-4757-1779-2
10.1186/s13662-020-02660-7
10.1007/978-1-4612-9834-2
10.3390/math7100907
ContentType Journal Article
CorporateAuthor School of Mathematics, Northwest University, Xi'an 710127, China
CorporateAuthor_xml – name: School of Mathematics, Northwest University, Xi'an 710127, China
DBID AAYXX
CITATION
DOA
DOI 10.3934/math.2021408
DatabaseName CrossRef
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
DatabaseTitleList
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
DeliveryMethod fulltext_linktorsrc
Discipline Mathematics
EISSN 2473-6988
EndPage 6974
ExternalDocumentID oai_doaj_org_article_7135442b86714c62b30ffcc74924fa0c
10_3934_math_2021408
GroupedDBID AAYXX
ADBBV
ALMA_UNASSIGNED_HOLDINGS
AMVHM
BCNDV
CITATION
EBS
FRJ
GROUPED_DOAJ
IAO
ITC
M~E
OK1
RAN
ID FETCH-LOGICAL-c378t-f3a3edfc6e9f5aba97e807e332e48c3ea6356511f8030a412d75370c1eafd9ec3
IEDL.DBID DOA
ISSN 2473-6988
IngestDate Wed Aug 27 01:30:12 EDT 2025
Tue Jul 01 03:56:48 EDT 2025
Thu Apr 24 23:01:53 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 7
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c378t-f3a3edfc6e9f5aba97e807e332e48c3ea6356511f8030a412d75370c1eafd9ec3
OpenAccessLink https://doaj.org/article/7135442b86714c62b30ffcc74924fa0c
PageCount 14
ParticipantIDs doaj_primary_oai_doaj_org_article_7135442b86714c62b30ffcc74924fa0c
crossref_primary_10_3934_math_2021408
crossref_citationtrail_10_3934_math_2021408
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-01-01
PublicationDateYYYYMMDD 2021-01-01
PublicationDate_xml – month: 01
  year: 2021
  text: 2021-01-01
  day: 01
PublicationDecade 2020
PublicationTitle AIMS mathematics
PublicationYear 2021
Publisher AIMS Press
Publisher_xml – name: AIMS Press
References key-10.3934/math.2021408-9
key-10.3934/math.2021408-7
key-10.3934/math.2021408-8
key-10.3934/math.2021408-5
key-10.3934/math.2021408-6
key-10.3934/math.2021408-3
key-10.3934/math.2021408-15
key-10.3934/math.2021408-4
key-10.3934/math.2021408-14
key-10.3934/math.2021408-1
key-10.3934/math.2021408-2
key-10.3934/math.2021408-11
key-10.3934/math.2021408-10
key-10.3934/math.2021408-13
key-10.3934/math.2021408-12
References_xml – ident: key-10.3934/math.2021408-5
  doi: 10.1016/0022-314X(77)90010-5
– ident: key-10.3934/math.2021408-14
  doi: 10.3934/math.2020480
– ident: key-10.3934/math.2021408-15
  doi: 10.1016/j.jnt.2013.10.022
– ident: key-10.3934/math.2021408-7
  doi: 10.1007/s10587-014-0082-0
– ident: key-10.3934/math.2021408-9
  doi: 10.1515/math-2017-0014
– ident: key-10.3934/math.2021408-1
  doi: 10.1007/978-1-4757-5579-4
– ident: key-10.3934/math.2021408-6
  doi: 10.1515/math-2017-0104
– ident: key-10.3934/math.2021408-11
– ident: key-10.3934/math.2021408-3
  doi: 10.1515/math-2019-0034
– ident: key-10.3934/math.2021408-8
  doi: 10.1007/978-1-4757-1779-2
– ident: key-10.3934/math.2021408-13
– ident: key-10.3934/math.2021408-4
  doi: 10.1186/s13662-020-02660-7
– ident: key-10.3934/math.2021408-12
  doi: 10.1007/978-1-4612-9834-2
– ident: key-10.3934/math.2021408-10
  doi: 10.3390/math7100907
– ident: key-10.3934/math.2021408-2
SSID ssj0002124274
Score 2.138559
Snippet The main purpose of this article is using the elementary methods and the properties of the character sums of the polynomials to study the calculating problem...
SourceID doaj
crossref
SourceType Open Website
Enrichment Source
Index Database
StartPage 6961
SubjectTerms calculating formula
elementary method
the sixth power mean
the two-term exponential sums
Title On the sixth power mean of one kind two-term exponential sums weighted by Legendre's symbol modulo $ p
URI https://doaj.org/article/7135442b86714c62b30ffcc74924fa0c
Volume 6
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS-RAEG7Ekx5EXcU3ddjFgwRjdyfpHN1FEVl3LwreQj-qUZxJBhNR_71VkziMB_HiMU3RFNX1-jrNV0L8DDLKUlIAhkIVibZllliUJlEacxN86bPIQPHqX35xoy9vs9u5UV_8JqynB-4Nd8wj5LSWjnnYtM-lU2mM3heagEO0qefsSzVvDkxxDqaErAlv9S_dVan0MfV__O9BEqAwH2rQHFX_tKacr4qVoRmE016JNbGA9bpYvpoxqbY_RPhfA31Ce__S3cGEZ5rBGG0NTYSmRnggTA3dc5NwigV8mdBiTVE7AnKxFp6nN58YwL3CXyRnCY942EL7OnbNCMZNeBo1MNkQN-dn138ukmEyQuJVYbokKqswRJ9jGTPrbFmgSQtUSqI2XqFl1jlqpaKhGLb6RAZCJUXqT9DGUKJXm2KxJn22BMQs5LmLzss0aG-UMcxbHItSGmeDz7fF0butKj_QhvP0ilFF8IEtW7Flq8Gy2-LXTHrS02V8IvebzT6TYZLr6QIdfTUcffXV0e98xya7Yol16m9V9sRi9_iE-9RndO5g6lJvasbRPA
linkProvider Directory of Open Access Journals
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+sixth+power+mean+of+one+kind+two-term+exponential+sums+weighted+by+Legendre%27s+symbol+modulo+p&rft.jtitle=AIMS+mathematics&rft.au=Wenpeng+Zhang&rft.au=Yuanyuan+Meng&rft.date=2021-01-01&rft.pub=AIMS+Press&rft.eissn=2473-6988&rft.volume=6&rft.issue=7&rft.spage=6961&rft.epage=6974&rft_id=info:doi/10.3934%2Fmath.2021408&rft.externalDBID=DOA&rft.externalDocID=oai_doaj_org_article_7135442b86714c62b30ffcc74924fa0c
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2473-6988&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2473-6988&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2473-6988&client=summon