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Chebyshevskii Sbornik, 2024, Volume 25, Issue 1, Pages 127–137
DOI: https://doi.org/10.22405/2226-8383-2024-25-1-127-137 (Mi cheb1406) 		 
A generalisation of Legendre's three-square theorem

H. Al-Assad

Lomonosov Moscow State University (Moscow)
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DOI: https://doi.org/10.22405/2226-8383-2024-25-1-127-137
Abstract: In this paper a generalisation of Legendre's three-square theorem to representations of two positive integers as sums of three squares for which the first square of each representation is the same is presented.
Keywords: legendre's three-square theorem, hasse's Principle for systems of two quadratic forms.
Received: 18.12.2023
Accepted: 21.03.2024
Document Type: Article
UDC: 511
Language: Russian
Citation: H. Al-Assad, “A generalisation of Legendre's three-square theorem”, Chebyshevskii Sb., 25:1 (2024), 127–137
Citation in format AMSBIB
\Bibitem{Al-24}
\by H.~Al-Assad
\paper A generalisation of Legendre's three-square theorem
\jour Chebyshevskii Sb.
\yr 2024
\vol 25
\issue 1
\pages 127--137
\mathnet{http://mi.mathnet.ru/cheb1406}
\crossref{https://doi.org/10.22405/2226-8383-2024-25-1-127-137}
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  • https://www.mathnet.ru/eng/cheb/v25/i1/p127
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