On the intervals between numbers that are sums of two squares. III.
Christopher Hooley (1974)
Journal für die reine und angewandte Mathematik
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Christopher Hooley (1974)
Journal für die reine und angewandte Mathematik
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Christopher Hooley (1981)
Journal für die reine und angewandte Mathematik
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E.T. Bell (1930)
Journal für die reine und angewandte Mathematik
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Jörg Brüdern, Etienne Fouvry (1994)
Journal für die reine und angewandte Mathematik
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Jan Wójcik (1971)
Colloquium Mathematicae
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Eberhard Becker (1979)
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James G. Huard, Kenneth S. Williams (2003)
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. ...
Mariusz Skałba (2012)
Acta Arithmetica
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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.
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Acta Arithmetica
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