A note on the representability of quaternary quadratic forms as sums of squares of two linear forms
Hardy, John (1970)
Portugaliae mathematica
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Hardy, John (1970)
Portugaliae mathematica
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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.
L. E. Dickson (1928)
Journal de Mathématiques Pures et Appliquées
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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...
Shaun Cooper, Heung Yeung Lam, Dongxi Ye (2013)
Acta Arithmetica
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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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Roger Clement Crocker (2008)
Colloquium Mathematicae
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It can be shown that the positive integers representable as the sum of two squares and one power of k (k any fixed integer ≥ 2) have positive density, from which it follows that those integers representable as the sum of two squares and (at most) two powers of k also have positive density. The purpose of this paper is to show that there is an infinity of positive integers not representable as the sum of two squares and two (or fewer) powers of k, k again any fixed integer ≥ 2. ...
Lefevre, James G., McCourt, Thomas A. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Andrew Bremner (2001)
Acta Arithmetica
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Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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Ratko Tošić (1980)
Publications de l'Institut Mathématique
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Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)
Acta Arithmetica
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R. Baeza, D. Leep, M. O'Ryan (1986)
Mathematische Zeitschrift
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