Multiplicative character sums and Kummer coverings
Marc Perret (1991)
Acta Arithmetica
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Marc Perret (1991)
Acta Arithmetica
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Huaning Liu (2006)
Acta Arithmetica
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Keijo Kononen (2010)
Acta Arithmetica
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Faruk Göloğlu, Gary McGuire, Richard Moloney (2011)
Acta Arithmetica
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Katalin Gyarmati, Attila Pethő, András Sárközy (2005)
Acta Arithmetica
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William Ellison (2013)
Acta Arithmetica
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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...
Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Abdelmejid Bayad, Yoshinori Hamahata (2012)
Acta Arithmetica
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Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Kazuhito Kozuka (2011)
Acta Arithmetica
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Henri Virtanen (2002)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Christopher Frei (2011)
Acta Arithmetica
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Roger C. Baker, William D. Banks, Jörg Brüdern, Igor E. Shparlinski, Andreas J. Weingartner (2013)
Acta Arithmetica
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