Geodesic
A generalisation of Legendre's three-square theorem
Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 127-137.

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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. 
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H. Al-Assad. A generalisation of Legendre's three-square theorem. Čebyševskij sbornik, Tome 25 (2024) no. 1, pp. 127-137. http://geodesic.mathdoc.fr/item/CHEB_2024_25_1_a8/

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