Sums of one prime and two prime squares
Hongze Li (2008)
Acta Arithmetica
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Hongze Li (2008)
Acta Arithmetica
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Paul Rowe (2005)
Acta Arithmetica
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Tao Liu (2004)
Acta Arithmetica
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Guangshi Lü (2007)
Acta Arithmetica
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Kiss, Elemér (1997)
Mathematica Pannonica
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Jianya Liu, Tao Zhan (2001)
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. ...
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.
Jörg Brüdern, Etienne Fouvry (1994)
Journal für die reine und angewandte Mathematik
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D. I. Tolev (2000)
Acta Arithmetica
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D. I. Tolev (2002)
Acta Arithmetica
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Hongze Li (2007)
Acta Arithmetica
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James G. Huard, Kenneth S. Williams (2003)
Acta Arithmetica
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Jan Wójcik (1971)
Colloquium Mathematicae
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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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Lilu Zhao (2014)
Acta Arithmetica
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By developing the method of Wooley on the quadratic Waring-Goldbach problem, we prove that all sufficiently large even integers can be expressed as a sum of four squares of primes and 46 powers of 2.