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, 1978, Volume 12, Issue 2, Pages 299–308
DOI: https://doi.org/10.1070/IM1978v012n02ABEH001855 (Mi im1767) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Sums of Legendre symbols of polynomials of second degree over prime numbers

A. A. Karatsuba
English version PDF (369 kB) Citations (12) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1978v012n02ABEH001855
Abstract: Estimates are obtained for sums of Legendre symbols of a quadratic polynomial over prime numbers, these being nontrivial when the number of summands is greater than the three-fourths power of the modulus.
Bibliography: 6 titles.
Received: 17.10.1977
Bibliographic databases:
Document Type: Article
UDC: 511
MSC: 10G05
Language: English
Original paper language: Russian
Citation: A. A. Karatsuba, “Sums of Legendre symbols of polynomials of second degree over prime numbers”, Math. USSR-Izv., 12:2 (1978), 299–308
Citation in format AMSBIB
\Bibitem{Kar78}
\by A.~A.~Karatsuba
\paper Sums of Legendre symbols of polynomials of second degree over prime numbers
\jour Math. USSR-Izv.
\yr 1978
\vol 12
\issue 2
\pages 299--308
\mathnet{http://mi.mathnet.ru//eng/im1767}
\crossref{https://doi.org/10.1070/IM1978v012n02ABEH001855}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485724}
\zmath{https://zbmath.org/?q=an:0375.10024|0403.10016}
Linking options:
  • https://www.mathnet.ru/eng/im1767
  • https://doi.org/10.1070/IM1978v012n02ABEH001855
  • https://www.mathnet.ru/eng/im/v42/i2/p315
    • This publication is cited in the following 12 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025