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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 12 scientific papers (total in 13 papers)

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

A. A. Karatsuba
English version PDF (369 kB) Citations (13)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1978, Volume 42, Issue 2, Pages 315–324
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”, Izv. Akad. Nauk SSSR Ser. Mat., 42:2 (1978), 315–324; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1978
\vol 42
\issue 2
\pages 315--324
\mathnet{http://mi.mathnet.ru/im1767}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=485724}
\zmath{https://zbmath.org/?q=an:0375.10024|0403.10016}
\transl
\jour Math. USSR-Izv.
\yr 1978
\vol 12
\issue 2
\pages 299--308
\crossref{https://doi.org/10.1070/IM1978v012n02ABEH001855}
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  • https://www.mathnet.ru/eng/im/v42/i2/p315
    • This publication is cited in the following 13 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
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    Abstract page:694
    Russian version PDF:341
    English version PDF:29
    References:46
    First page:1
     
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