Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 3, Pages 8–15
DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-2 (Mi vmumm4534) 		 
Mathematics

Unsolvability of some problems on piecewise polynomial functions

S. B. Gashkovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
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DOI: https://doi.org/10.55959/MSU0579-9368-1-64-3-2
Abstract: The algorithmic unsolvability is proved for some problems concerning piecewise polynomials of one variable with infinite number of nodes.
Key words: piece-polynomial functions, Diophantine equations, algorithmic unsolvability.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
Received: 02.09.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 3, Pages 112–119
DOI: https://doi.org/10.3103/S0027132223030038
Bibliographic databases:
Document Type: Article
UDC: 519.95
Language: Russian
Citation: S. B. Gashkov, “Unsolvability of some problems on piecewise polynomial functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 3, 8–15; Moscow University Mathematics Bulletin, 78:3 (2023), 112–119
Citation in format AMSBIB
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\by S.~B.~Gashkov
\paper Unsolvability of some problems on piecewise polynomial functions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 3
\pages 8--15
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\crossref{https://doi.org/10.55959/MSU0579-9368-1-64-3-2}
\zmath{https://zbmath.org/?q=an:07741291}
\elib{https://elibrary.ru/item.asp?id=53868400}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 3
\pages 112--119
\crossref{https://doi.org/10.3103/S0027132223030038}
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