On sums of three squares
Jan Wójcik (1971)
Colloquium Mathematicae
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Jan Wójcik (1971)
Colloquium Mathematicae
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James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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Mariusz Skałba (2012)
Acta Arithmetica
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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. ...
Zhi-Wei Sun (2007)
Acta Arithmetica
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Andrew Bremner (2001)
Acta Arithmetica
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Ratko Tošić (1980)
Publications de l'Institut Mathématique
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Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
M. Kuczma (1969)
Annales Polonici Mathematici
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John Pais, Richard Singer (2004)
Visual Mathematics
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Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)
Acta Arithmetica
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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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Chan, Tsz Ho (2010)
Integers
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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...
Dilcher, Karl (2000)
Experimental Mathematics
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