Equality of Dedekind sums modulo 8ℤ

@article{EmmanuelTsukerman2015,
abstract = {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].},
author = {Emmanuel Tsukerman},
journal = {Acta Arithmetica},
keywords = {Dedekind sums; Zolotarev's lemma; Barkan-Hickerson-Knuth formula},
language = {eng},
number = {1},
pages = {67-72},
title = {Equality of Dedekind sums modulo 8ℤ},
url = {http://eudml.org/doc/279458},
volume = {170},
year = {2015},
}

TY - JOUR
AU - Emmanuel Tsukerman
TI - Equality of Dedekind sums modulo 8ℤ
JO - Acta Arithmetica
PY - 2015
VL - 170
IS - 1
SP - 67
EP - 72
AB - 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].
LA - eng
KW - Dedekind sums; Zolotarev's lemma; Barkan-Hickerson-Knuth formula
UR - http://eudml.org/doc/279458
ER -