Jacobsthal identity for Q(sqrt(-2))
Number Theory
2011-10-27 v1
Abstract
Let be a prime congruent to 1 or 3 modulo 8 so that the equation is solvable in integers. In this paper, we obtain closed-form expressions for and in terms of Jacobsthal sums. This is analogous to a classical identity of Jacobsthal.
Cite
@article{arxiv.1110.5815,
title = {Jacobsthal identity for Q(sqrt(-2))},
author = {Ki-Ichiro Hashimoto and Ling Long and Yifan Yang},
journal= {arXiv preprint arXiv:1110.5815},
year = {2011}
}
Comments
to appear in Forum Mathematicum