Sum of powers from hyper-pyramids.
Sakmar, I.A. (2003)
APPS. Applied Sciences
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Sakmar, I.A. (2003)
APPS. Applied Sciences
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Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Vsevolod F. Lev (2008)
Acta Arithmetica
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Lajos Hajdu, Shanta Laishram, Szabolcs Tengely (2016)
Acta Arithmetica
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We investigate power values of sums of products of consecutive integers. We give general finiteness results, and also give all solutions when the number of terms in the sum considered is at most ten.
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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Henri Virtanen (2002)
Acta Arithmetica
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Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Manfred Kühleitner, Werner Georg Nowak (2001)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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A. Sárközy (2005)
Acta Arithmetica
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Liqun Hu, Li Yang (2017)
Open Mathematics
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In this paper, we obtained that when k = 455, every pair of large even integers satisfying some necessary conditions can be represented in the form of a pair of unlike powers of primes and k powers of 2.
Li Xiaoxue, Hu Jiayuan (2017)
Open Mathematics
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The main purpose of this paper is using the analytic method and the properties of the classical Gauss sums to study the computational problem of one kind fourth hybrid power mean of the quartic Gauss sums and Kloosterman sums, and give an exact computational formula for it.
Zhi-Wei Sun (2001)
Acta Arithmetica
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