A. A. Karatsuba, “A system of congruences”, Mat. Zametki, 19:3 (1976), 389–392; Math. Notes, 19:3 (1976), 237

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Matematicheskie Zametki, 1976, Volume 19, Issue 3, Pages 389–392 (Mi mzm7757)

This article is cited in 11 scientific papers (total in 11 papers)

A system of congruences

A. A. Karatsuba

V. A. Steklov Mathematical Institute, USSR Academy of Sciences

Full-text PDF (203 kB) Citations (11)

Abstract: A theorem is proved on the solvability of a system of congruences of a definite form when the order of the number of unknowns is proper.

Received: 18.12.1975

English version:
Mathematical Notes, 1976, Volume 19, Issue 3, Pages 237–239
DOI: https://doi.org/10.1007/BF01437857

Bibliographic databases:

Document Type: Article

UDC: 511

Language: Russian

Citation: A. A. Karatsuba, “A system of congruences”, Mat. Zametki, 19:3 (1976), 389–392; Math. Notes, 19:3 (1976), 237–239

Citation in format AMSBIB

\Bibitem{Kar76}

\by A.~A.~Karatsuba

\paper A~system of congruences

\jour Mat. Zametki

\yr 1976

\vol 19

\issue 3

\pages 389--392

\mathnet{http://mi.mathnet.ru/mzm7757}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=409394}

\zmath{https://zbmath.org/?q=an:0333.10001}

\transl

\jour Math. Notes

\yr 1976

\vol 19

\issue 3

\pages 237--239

\crossref{https://doi.org/10.1007/BF01437857}

Linking options:

https://www.mathnet.ru/eng/mzm7757

https://www.mathnet.ru/eng/mzm/v19/i3/p389

This publication is cited in the following 11 articles:

Saveliy V. Skresanov, “On a polynomial bound for the orbital diameter of primitive affine groups”, Communications in Algebra, 2024, 1
H. M. Saliba, V. N. Chubarikov, “On the Arkhipov–Karatsuba multivariate system of congruences”, Dokl. Math., 95:1 (2017), 76
Kh. M. Saliba, “Ob odnoi sisteme sravnenii Arkhipova–Karatsuby”, Chebyshevskii sb., 17:3 (2016), 186–190
A. A. Glibichuk, “Sums of powers of subsets of an arbitrary finite field”, Izv. Math., 75:2 (2011), 253–285
V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263
O. V. Tyrina, “A new estimate for a trigonometric integral of I. M. Vinogradov”, Math. USSR-Izv., 30:2 (1988), 337–351
D. A. Mit'kin, “An estimate of the number of terms in Waring's problem for polynomials of general form”, Math. USSR-Izv., 29:2 (1987), 371–406
D. A. Mit'kin, “An estimate for the number of terms in the Hilbert–Kamke problem”, Math. USSR-Sb., 57:2 (1987), 561–590
A. A. Karatsuba, “On the function $G(n)$ in Waring's problem”, Math. USSR-Izv., 27:2 (1986), 239–249
G. I. Arkhipov, “On he Hilbert–Kamke problem”, Math. USSR-Izv., 24:1 (1985), 1–47
G. I. Arkhipov, A. A. Karatsuba, “On local representation of zero by a form”, Math. USSR-Izv., 19:2 (1982), 231–240

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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