M. V. Zaets, “Functions with variative-coordinate polynomiality over primary rings of residues”, Prikl. Diskr. Mat., 2014, no. 3(25), 12

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Prikladnaya Diskretnaya Matematika, 2014, Number 3(25), Pages 12–27 (Mi pdm473)

This article is cited in 5 scientific papers (total in 5 papers)

Theoretical Foundations of Applied Discrete Mathematics

Functions with variative-coordinate polynomiality over primary rings of residues

M. V. Zaets

Research Institute "Kvant", Moscow, Russia

Full-text PDF (656 kB) Citations (5)

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Abstract: A new class of functions over primary ring of residues called the functions with variative-coordinate polynomiality is considered. This class generalizes the class of polynomial functions with the property that every system of equations composed of functions in the class may be solved by the coordinate linearization method.

Keywords: primary ring of residues, polynomial functions, formal derivative, system of equations, VCP-functions.

Document Type: Article

UDC: 519.716.32+519.854

Language: Russian

Citation: M. V. Zaets, “Functions with variative-coordinate polynomiality over primary rings of residues”, Prikl. Diskr. Mat., 2014, no. 3(25), 12–27

Citation in format AMSBIB

\Bibitem{Zae14}

\by M.~V.~Zaets

\paper Functions with variative-coordinate polynomiality over primary rings of residues

\jour Prikl. Diskr. Mat.

\yr 2014

\issue 3(25)

\pages 12--27

\mathnet{http://mi.mathnet.ru/pdm473}

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https://www.mathnet.ru/eng/pdm473

https://www.mathnet.ru/eng/pdm/y2014/i3/p12

This publication is cited in the following 5 articles:

D. G. Meshchaninov, “Some families of closed classes in $P_k$ defined by additive formulas”, Discrete Math. Appl., 32:2 (2022), 115–128
D. G. Meshchaninov, “Closed classes of polynomials modulo $p^2$ ”, Discrete Math. Appl., 28:3 (2018), 167–178
M. V. Zaets, “Razryadno-polinomialnoe postroenie podstanovok nad koltsom Galua”, PDM. Prilozhenie, 2017, no. 10, 17–19
A. I. Zueva, A. V. Karpov, “Funktsii s variatsionno-koordinatnoi polinomialnostyu nad gruppoi”, PDM. Prilozhenie, 2016, no. 9, 24–27
M. V. Zaets, “Postroenie podstanovok s ispolzovaniem variatsionno-koordinatno polinomialnykh funktsii nad primarnym koltsom vychetov”, Matem. vopr. kriptogr., 6:1 (2015), 5–32

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

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Abstract page:	275
Full-text PDF :	73
References:	66

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