On a characterization of the Euclidean sphere
J. Witkowski (1963)
Annales Polonici Mathematici
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J. Witkowski (1963)
Annales Polonici Mathematici
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Akritas, Alkiviadis G., Malaschonok, Gennadi I., Vigklas, Panagiotis S. (2016)
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Given the polynomials f, g ∈ Z[x] the main result of our paper, Theorem 1, establishes a direct one-to-one correspondence between the modified Euclidean and Euclidean polynomial remainder sequences (prs’s) of f, g computed in Q[x], on one hand, and the subresultant prs of f, g computed by determinant evaluations in Z[x], on the other. An important consequence of our theorem is that the signs of Euclidean and modified Euclidean prs’s - computed either in Q[x] or in Z[x] - are uniquely...
Stefan Haesen, Ana Irina Nistor, Leopold Verstraelen (2012)
Kragujevac Journal of Mathematics
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