On sums of three squares
Jan Wójcik (1971)
Colloquium Mathematicae
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Jan Wójcik (1971)
Colloquium Mathematicae
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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. ...
James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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Mariusz Skałba (2012)
Acta Arithmetica
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Zhi-Wei Sun (2007)
Acta Arithmetica
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Tsz Ho Chan (2006)
Acta Arithmetica
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Cilleruelo, Javier, Luca, Florian (2010)
The Electronic Journal of Combinatorics [electronic only]
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Dilcher, Karl (2000)
Experimental Mathematics
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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.
Andrew Bremner (2001)
Acta Arithmetica
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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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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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John Pais, Richard Singer (2004)
Visual Mathematics
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