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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 88, Pages 78–89 (Mi znsl3105)  
A diophantine representation of perfect numbers

V. A. Kriaučiukas
Full-text PDF (422 kB)
Abstract: A natural number ft is perfect iff system (2)–(33) of diophantine equations has a positive integer solution in the rest of variables.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 4, Pages 2307–2313
DOI: https://doi.org/10.1007/BF01629440
Bibliographic databases:
UDC: 510.5+511.217+511.515
Language: Russian
Citation: V. A. Kriaučiukas, “A diophantine representation of perfect numbers”, Studies in constructive mathematics and mathematical logic. Part VIII, Zap. Nauchn. Sem. LOMI, 88, "Nauka", Leningrad. Otdel., Leningrad, 1979, 78–89; J. Soviet Math., 20:4 (1982), 2307–2313
Citation in format AMSBIB
\Bibitem{Kri79}
\by V.~A.~Kriau{\v{c}}iukas
\paper A~diophantine representation of perfect numbers
\inbook Studies in constructive mathematics and mathematical logic. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 88
\pages 78--89
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3105}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=556222}
\zmath{https://zbmath.org/?q=an:0435.10006|0497.10004}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 4
\pages 2307--2313
\crossref{https://doi.org/10.1007/BF01629440}
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