Equality of Dedekind sums modulo 8ℤ

• Autorzy: Emmanuel Tsukerman
• Języki publikacji: EN

Abstrakty

EN

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].

Kategorie tematyczne

• 11F20: Dedekind eta function, Dedekind sums

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 170
• Numer: 1
• Strony: 67-72

Daty

wydano

2015

Twórcy

autor

Emmanuel Tsukerman

• Department of Mathematics, University of California, Berkeley, CA 94720-3840, U.S.A.

Identyfikatory

DOI

10.4064/aa170-1-5