Dedekind cuts in C(X)

Nicolae Dăneţ

Displaying similar documents to “Dedekind cuts in C(X)”

Hausdorff dimension of sums of sets with themselves

T. W. Körner (2008)

Studia Mathematica

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There is no non-trivial constraint on the Hausdorff dimension of sums of a set with itself.

Continuity of the superposition of set-valued functions.

Merentes, N., Nikodem, K., Rivas, S. (1997)

Journal of Applied Analysis

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Weierstrass and Dedekind on General Complex Numbers / Karl Weierstrass and Richard Dedekind (Review).

C.H. Chapman (1891/92)

Bulletin of the New York Mathematical Society

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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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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].