The number Γ(k) in Waring's problem
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Acta Arithmetica
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Christian Elsholtz (2008)
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Koichi Kawada, Trevor D. Wooley (2002)
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William Ellison (2013)
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If K is a field, denote by P(K,k) the a ∈ K which are sums of kth powers of elements of K, by P⁺(K,k) the set of a ∈ K which are sums of kth powers of totally positive elements of K. We give some simple conditions for which there exist integers w(K,k) and g(K,k) such that: a ∈ P(K,k) implies that a is the sum of at most w(K,k) kth powers; a ∈ P⁺(K,k) implies that a is the sum of at most g(K,k) totally positive kth powers. We apply the results to characterise functions that are sums of...
Zhi-Wei Sun (2007)
Acta Arithmetica
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Trevor D. Wooley (1995)
Inventiones mathematicae
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Gallardo, Luis (2004)
Portugaliae Mathematica. Nova Série
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