Generalized reciprocity laws for sums of harmonic numbers.
Kuba, Markus, Prodinger, Helmut, Schneider, Carsten (2008)
Integers
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Displaying similar documents to “Evaluation of triple Euler sums.”
Generalized reciprocity laws for sums of harmonic numbers.
On the evaluation of Euler sums.
Crandall, Richard E., Buhler, Joe P. (1994)
Experimental Mathematics
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Restricted sums of subsets of ℤ
Zhi-Wei Sun (2001)
Acta Arithmetica
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Evaluations of -fold Euler/Zagier sums: a compendium of results for arbitrary .
Borwein, J.M., Bradley, D.M., Broadhurst, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
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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On Some Sets Of Integers With Equal Sums Of Like Powers
Alfred Moessner, George Xeroudakes (1954)
Publications de l'Institut Mathématique
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Combinatorial relations for Euler-Zagier sums
Hirofumi Tsumura (2004)
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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Sums of Kloosterman Sums.
D. Goldfeld, P. Sarnak (1983)
Inventiones mathematicae
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Fourth power mean of character sums
Zhefeng Xu, Wenpeng Zhang (2008)
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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Generalizations of Dedekind sums and their reciprocity laws
Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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Equality of Dedekind sums modulo 8ℤ
Emmanuel Tsukerman (2015)
Acta Arithmetica
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Using a generalization due to Lerch [Bull. Int. Acad. François Joseph 3 (1896)] of a classical lemma of Zolotarev, employed in Zolotarev's proof of the law of quadratic reciprocity, we determine necessary and sufficient conditions for the difference of two Dedekind sums to be in 8ℤ. These yield new necessary conditions for equality of two Dedekind sums. In addition, we resolve a conjecture of Girstmair [arXiv:1501.00655].
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.