Some identities for multiple Dedekind sums attached to Dirichlet characters
Kazuhito Kozuka (2011)
Acta Arithmetica
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Kazuhito Kozuka (2011)
Acta Arithmetica
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L. Carlitz (1980)
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Zhefeng Xu, Wenpeng Zhang (2008)
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
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Katalin Gyarmati, Attila Pethő, András Sárközy (2005)
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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].
Wenpeng Zhang (2003)
Acta Arithmetica
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Abdelmejid Bayad, Abdelaziz Raouj (2010)
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Zhi-Wei Sun (2001)
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Tingting Wang (2012)
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Kaori Ota (2003)
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Marc Perret (1991)
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Henri Virtanen (2002)
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Mei-Chu Chang (2012)
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L. Carlitz (1964)
Mathematische Zeitschrift
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Roelof W. Bruggemen (1989)
Mathematische Zeitschrift
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Sun, Zhiwei (2003)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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