Dedekind cotangent sums

Matthias Beck

Displaying similar documents to “Dedekind cotangent sums”

Reciprocity formulae for general multiple Dedekind-Rademacher sums and enumeration of lattice points

Abdelmejid Bayad, Abdelaziz Raouj (2010)

Acta Arithmetica

Similarity:

On sums of two kth powers: a mean-square asymptotics over short intervals

Manfred Kühleitner, Werner Georg Nowak (2001)

Acta Arithmetica

Similarity:

A reciprocity theorem and a three-term relation for generalized Dedekind-Rademacher sums

L. Carlitz (1980)

Acta Arithmetica

Similarity:

Generalizations of Dedekind sums and their reciprocity laws

Yumiko Nagasaka, Kaori Ota, Chizuru Sekine (2003)

Acta Arithmetica

Similarity:

Equality of Dedekind sums modulo 8ℤ

Emmanuel Tsukerman (2015)

Acta Arithmetica

Similarity:

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].