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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T Estermann (1936)
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.
James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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Jan Wójcik (1971)
Colloquium Mathematicae
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Mariusz Skałba (2012)
Acta Arithmetica
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E.T. Bell (1930)
Journal für die reine und angewandte Mathematik
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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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Cooper, Shaun, Hirschhorn, Michael (2004)
Integers
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Christopher Hooley (1981)
Journal für die reine und angewandte Mathematik
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Tsz Ho Chan (2006)
Acta Arithmetica
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Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Myung-Hwan Kim, Byeong-Kweon Oh (2002)
Acta Arithmetica
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Shaun Cooper, Heung Yeung Lam, Dongxi Ye (2013)
Acta Arithmetica
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S. Van Huffel, J. Vandewalle (1987)
Numerische Mathematik
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Heng Huat Chan, Shaun Cooper, Wen-Chin Liaw (2008)
Acta Arithmetica
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G. Kuba (2003)
Acta Arithmetica
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