Congruences mod 4 for the alternating sum of the partial quotients
Number Theory
2015-01-08 v2
Abstract
We apply a technique used in Tsukerman, Equality of Dedekind sums mod , and , arXiv:1408.3225] combined with the Barkan-Hickerson-Knuth-formula in order to obtain congruences mod for the alternating sum of the partial quotients of the continued fraction expansion of , where are integers.
Keywords
Cite
@article{arxiv.1501.00655,
title = {Congruences mod 4 for the alternating sum of the partial quotients},
author = {Kurt Girstmair},
journal= {arXiv preprint arXiv:1501.00655},
year = {2015}
}