On sums of three squares
Jan Wójcik (1971)
Colloquium Mathematicae
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Jan Wójcik (1971)
Colloquium Mathematicae
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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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Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Tsz Ho Chan (2006)
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.
Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)
Acta Arithmetica
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Jianya Liu, Tao Zhan (2001)
Acta Arithmetica
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Andrew Bremner (2001)
Acta Arithmetica
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A. Schinzel (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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It is proved that all sufficiently large integers satisfying the necessary congruence conditions mod 24 are sums of four squares prime in pairs.
Ikramov, Kh.D., Matin Far, M. (2004)
Zapiski Nauchnykh Seminarov POMI
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John Pais, Richard Singer (2004)
Visual Mathematics
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Ratko Tošić (1980)
Publications de l'Institut Mathématique
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M. Kuczma (1969)
Annales Polonici Mathematici
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Christopher Hooley (1994)
Journal für die reine und angewandte Mathematik
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Ford, David, Johnson, Kenneth W. (1996)
Experimental Mathematics
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