The number of k-sums of abelian groups of order k
Hong Bing Yu (2004)
Acta Arithmetica
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Displaying similar documents to “A characterization of sequences with the minimum number of k-sums modulo k”
The number of k-sums of abelian groups of order k
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L. Carlitz (1980)
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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].
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Acta Arithmetica
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