Generalized Dedekind sums.

L. Carlitz

Displaying similar documents to “Generalized Dedekind sums.”

On equal sums of like powers

K.S. Rao (1935)

Mathematische Zeitschrift

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On sums of like powers

K.S. Rao (1936)

Mathematische Zeitschrift

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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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E-Function Series whose Sums are Constants.

F.M. Ragab, T.M. MacRobert (1962)

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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].