On Eisenstein series with characters and Dedekind sums

Chizuru Sekine

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Some identities for multiple Dedekind sums attached to Dirichlet characters

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Generalizations of Dedekind sums and their reciprocity laws

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On linear recursion and pseudorandomness

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Equality of Dedekind sums modulo 8ℤ

Emmanuel Tsukerman (2015)

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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].