A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
L. Carlitz (1980)
Acta Arithmetica
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Displaying similar documents to “Generalizations of Dedekind sums and their reciprocity laws”
A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums
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].
Reciprocity formulae for general multiple Dedekind-Rademacher sums and enumeration of lattice points
Abdelmejid Bayad, Abdelaziz Raouj (2010)
Acta Arithmetica
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Wenpeng Zhang (2003)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Generalized Dedekind sums.
L. Carlitz (1964)
Mathematische Zeitschrift
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Powers of 2 with five distinct summands
Vsevolod F. Lev (2008)
Acta Arithmetica
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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The reciprocity theorem for Dedekind-Rademacher sums
L. Carlitz (1976)
Acta Arithmetica
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Matthias Beck, Anastasia Chavez (2011)
Acta Arithmetica
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Some identities for multiple Dedekind sums attached to Dirichlet characters
Kazuhito Kozuka (2011)
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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