Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 3, Pages 485–501
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001066 (Mi im1988) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Sums of characters with prime numbers in an arithmetic progression

A. A. Karatsuba
English version PDF (590 kB) Citations (6) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1971v005n03ABEH001066
Abstract: One of the corollaries of the fundamental theorem in this paper is a theorem about power residues and nonresidues $\operatorname{mod}q$ in sequences of the form $p+k$, where the prime numbers $p$ belong to the beginning of an arithmetic progression.
Received: 18.12.1970
Bibliographic databases:
Document Type: Article
UDC: 511.292
MSC: Primary 10G05; Secondary 10H20
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “Sums of characters with prime numbers in an arithmetic progression”, Math. USSR-Izv., 5:3 (1971), 485–501
Citation in format AMSBIB
\Bibitem{Kar71}
\by A.~A.~Karatsuba
\paper Sums of characters with prime numbers in an arithmetic progression
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 3
\pages 485--501
\mathnet{http://mi.mathnet.ru/eng/im1988}
\crossref{https://doi.org/10.1070/IM1971v005n03ABEH001066}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=282929}
\zmath{https://zbmath.org/?q=an:0224.10038}
Linking options:
  • https://www.mathnet.ru/eng/im1988
  • https://doi.org/10.1070/IM1971v005n03ABEH001066
  • https://www.mathnet.ru/eng/im/v35/i3/p469
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:763
    Russian version PDF:210
    English version PDF:78
    References:145
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2026