Dedekind cotangent sums
Matthias Beck (2003)
Acta Arithmetica
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Matthias Beck (2003)
Acta Arithmetica
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L. Carlitz (1980)
Acta Arithmetica
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Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)
Acta Arithmetica
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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].
Manfred Kühleitner, Werner Georg Nowak (2001)
Acta Arithmetica
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Wenpeng Zhang (2003)
Acta Arithmetica
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L. Carlitz (1964)
Mathematische Zeitschrift
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Zhi-Wei Sun (2001)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2008)
Acta Arithmetica
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Matthias Beck, Anastasia Chavez (2011)
Acta Arithmetica
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Tingting Wang (2012)
Acta Arithmetica
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Kazuhito Kozuka (2011)
Acta Arithmetica
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L. Carlitz (1976)
Acta Arithmetica
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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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