Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
Acta Arithmetica
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Displaying similar documents to “On Some Sets Of Integers With Equal Sums Of Like Powers”
Powers of 2 with five distinct summands
Slim exceptional sets for sums of fourth and fifth powers
Koichi Kawada, Trevor D. Wooley (2002)
Acta Arithmetica
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Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
Acta Arithmetica
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On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
Tingting Wang (2012)
Acta Arithmetica
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Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Unification of zero-sum problems, subset sums and covers of .
Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Hybrid mean value for a generalization of a problem of D. H. Lehmer
Huaning Liu, Wenpeng Zhang (2007)
Acta Arithmetica
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Negative values of cosine sums
Imre Z. Ruzsa (2004)
Acta Arithmetica
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A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Sums of squares, cubes, and higher powers.
Jagy, William C., Kaplansky, Irving (1995)
Experimental Mathematics
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Waring's problem for fields
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...
A mean value related to the D. H. Lehmer problem and Kloosterman sums
Wenpeng Zhang, Zhaoxia Wu (2010)
Acta Arithmetica
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Generalizations of Dedekind sums and their reciprocity laws
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Infinite sums as linear combinations of polygamma functions
Kh. Hessami Pilehrood, T. Hessami Pilehrood (2007)
Acta Arithmetica
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The hybrid power mean of quartic Gauss sums and Kloosterman sums
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.