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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 242–250 (Mi timm793)  
This article is cited in 1 scientific paper (total in 1 paper)

On the topology of elliptic curves

N. V. Medvedev, S. S. Titov

Urals State University of Railway Transport
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Abstract: The paper is concerned with studying the everywhere density of the set of rational points on an elliptic curve. V. N. Ushakov's conjecture, which is related to the topology of elliptic curves, is investigated. Elliptic curves and Weierstrass functions with real invariants are considered. A criterion of the everywhere density of a set of points on a curve is proved. The rank of an elliptic curve is calculated numerically.
Keywords: elliptic curve, elliptic integral, everywhere density, rank, $L$-function.
Received: 12.09.2011
Bibliographic databases:
Document Type: Article
UDC: 512.772
Language: Russian
Citation: N. V. Medvedev, S. S. Titov, “On the topology of elliptic curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 242–250
Citation in format AMSBIB
\Bibitem{MedTit12}
\by N.~V.~Medvedev, S.~S.~Titov
\paper On the topology of elliptic curves
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 242--250
\mathnet{http://mi.mathnet.ru/timm793}
\elib{https://elibrary.ru/item.asp?id=17358692}
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  • https://www.mathnet.ru/eng/timm793
  • https://www.mathnet.ru/eng/timm/v18/i1/p242
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :250
    References:51
    First page:8
     
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