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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 20–30 (Mi ivm1458)  

This article is cited in 3 scientific papers (total in 3 papers)

Solution of fifth-degree equations

E. N. Mikhalkin

Chair of Mathematical Analysis and Teaching Principles, Krasnoyarsk State Pedagogical University, Krasnoyarsk, Russia
Full-text PDF (218 kB) Citations (3)
References:
Abstract: In this paper we establish the relationship between two approaches to the solution of algebraic fifth-degree equations, namely, the Hermite–Kronecker method (based on the modular elliptic equation) and the Mellin method (based on hypergeometric series).
Keywords: algebraic equation, hypergeometric series.
Received: 09.04.2007
Revised: 06.03.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 15–23
DOI: https://doi.org/10.3103/S1066369X09060036
Bibliographic databases:
UDC: 511.334
Language: Russian
Citation: E. N. Mikhalkin, “Solution of fifth-degree equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 20–30; Russian Math. (Iz. VUZ), 53:6 (2009), 15–23
Citation in format AMSBIB
\Bibitem{Mik09}
\by E.~N.~Mikhalkin
\paper Solution of fifth-degree equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 20--30
\mathnet{http://mi.mathnet.ru/ivm1458}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583995}
\zmath{https://zbmath.org/?q=an:05621425}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 15--23
\crossref{https://doi.org/10.3103/S1066369X09060036}
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  • https://www.mathnet.ru/eng/ivm/y2009/i6/p20
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:2554
    Full-text PDF :2043
    References:167
    First page:53
     
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