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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 286, Pages 5–35 (Mi znsl1563)  
This article is cited in 1 scientific paper (total in 1 paper)

Deformations of Diophantine systems for quadratic forms of the cubic lattices

N. V. Budarina

Vladimir State Pedagogical University
Full-text PDF (270 kB) Citations (1)
Abstract: The method of deformation is applied to quadratic Diophantine systems determined by the cubic lattices $\mathbb Z^n$. The method allows one to find from known formulas for the number of representations of quadratic forms by a genus of forms an infinite set of other formulas for equations and systems with smaller number of variables.
Received: 12.03.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 122, Issue 6, Pages 3583–3599
DOI: https://doi.org/10.1023/B:JOTH.0000035232.60529.9f
Bibliographic databases:
UDC: 511
Language: Russian
Citation: N. V. Budarina, “Deformations of Diophantine systems for quadratic forms of the cubic lattices”, Analytical theory of numbers and theory of functions. Part 18, Zap. Nauchn. Sem. POMI, 286, POMI, St. Petersburg, 2002, 5–35; J. Math. Sci. (N. Y.), 122:6 (2004), 3583–3599
Citation in format AMSBIB
\Bibitem{Bud02}
\by N.~V.~Budarina
\paper Deformations of Diophantine systems for quadratic forms of the cubic lattices
\inbook Analytical theory of numbers and theory of functions. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 286
\pages 5--35
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1563}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1937364}
\zmath{https://zbmath.org/?q=an:1077.11025}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 122
\issue 6
\pages 3583--3599
\crossref{https://doi.org/10.1023/B:JOTH.0000035232.60529.9f}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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