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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Poncelet problem for rational conics
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by V. A. Malyshev
Translated by: A. Plotkin
St. Petersburg Math. J. 19 (2008), 597-601
DOI: https://doi.org/10.1090/S1061-0022-08-01012-1
Published electronically: May 9, 2008

Abstract:

The Poncelet problem for rational conics may have a solution only for polygons with $3,4,5,6,7,8,9,10,12,14,16,18,20$, or $24$ vertices.
References
  • Phillip Griffiths and Joseph Harris, On Cayley’s explicit solution to Poncelet’s porism, Enseign. Math. (2) 24 (1978), no. 1-2, 31–40. MR 497281
  • V. P. Burskiĭ and A. S. Zhedanov, The Dirichlet problem for the equation of string vibration, the Poncelet problem, the Pell-Abel equation, and some other related problems, Ukraïn. Mat. Zh. 58 (2006), no. 4, 435–450 (Russian, with English and Ukrainian summaries); English transl., Ukrainian Math. J. 58 (2006), no. 4, 487–504. MR 2272795, DOI 10.1007/s11253-006-0081-x
  • V. A. Malyshev, The Abel equation, Algebra i Analiz 13 (2001), no. 6, 1–55 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 13 (2002), no. 6, 893–938. MR 1883839
  • V. A. Malyshev, Periods of quadratic irrationalities, and torsion of elliptic curves, Algebra i Analiz 15 (2003), no. 4, 177–203 (Russian, with Russian summary); English transl., St. Petersburg Math. J. 15 (2004), no. 4, 587–602. MR 2068984, DOI 10.1090/S1061-0022-04-00824-6
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Bibliographic Information
  • V. A. Malyshev
  • Affiliation: Rybinsk State Aviation Technology Academy, Rybinsk, Russia
  • Email: wmal@ryb.adm.yar.ru
  • Received by editor(s): April 3, 2006
  • Published electronically: May 9, 2008
  • © Copyright 2008 American Mathematical Society
  • Journal: St. Petersburg Math. J. 19 (2008), 597-601
  • MSC (2000): Primary 51N20
  • DOI: https://doi.org/10.1090/S1061-0022-08-01012-1
  • MathSciNet review: 2381936