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Mathematics of the USSR-Izvestiya, 1969, Volume 3, Issue 5, Pages 1103–1114
DOI: https://doi.org/10.1070/IM1969v003n05ABEH000834 (Mi im2197) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On the number of points of a hyperelliptic curve over a finite prime field

S. A. Stepanov
English version PDF (339 kB) Citations (20)
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DOI: https://doi.org/10.1070/IM1969v003n05ABEH000834
Abstract: A new method is proposed in this paper for investigating algebraic congruences with prime modulus, leading in the case of hyperelliptic curves to estimates of the same order of strength as the classical estimates of Hasse and Weil.
Received: 24.09.1968
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1969, Volume 33, Issue 5, Pages 1171–1181
Bibliographic databases:
UDC: 511
MSC: 14H52, 14H10, 11C08
Language: English
Original paper language: Russian
Citation: S. A. Stepanov, “On the number of points of a hyperelliptic curve over a finite prime field”, Izv. Akad. Nauk SSSR Ser. Mat., 33:5 (1969), 1171–1181; Math. USSR-Izv., 3:5 (1969), 1103–1114
Citation in format AMSBIB
\Bibitem{Ste69}
\by S.~A.~Stepanov
\paper On the number of points of a~hyperelliptic curve over a~finite prime field
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1969
\vol 33
\issue 5
\pages 1171--1181
\mathnet{http://mi.mathnet.ru/im2197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=252400}
\zmath{https://zbmath.org/?q=an:0192.58002}
\transl
\jour Math. USSR-Izv.
\yr 1969
\vol 3
\issue 5
\pages 1103--1114
\crossref{https://doi.org/10.1070/IM1969v003n05ABEH000834}
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  • https://doi.org/10.1070/IM1969v003n05ABEH000834
  • https://www.mathnet.ru/eng/im/v33/i5/p1171
    • This publication is cited in the following 20 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:956
    Russian version PDF:402
    English version PDF:28
    References:64
    First page:4
     
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