On the representations of a number as a sum of squares
T. Estermann (1937)
Prace Matematyczno-Fizyczne
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T. Estermann (1937)
Prace Matematyczno-Fizyczne
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Shaun Cooper, Heung Yeung Lam, Dongxi Ye (2013)
Acta Arithmetica
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Meinhard Peters (2002)
Acta Arithmetica
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Cooper, Shaun, Hirschhorn, Michael (2004)
Integers
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G. Kuba (2003)
Acta Arithmetica
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Andrew Bremner (2001)
Acta Arithmetica
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Jörg Brüdern (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.
Ratko Tošić (1980)
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Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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M. Kuczma (1969)
Annales Polonici Mathematici
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John Pais, Richard Singer (2004)
Visual Mathematics
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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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E.T. Bell (1930)
Journal für die reine und angewandte Mathematik
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Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)
Special Matrices
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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...