Jacobsthal identity for Q(??- 2)
Journal
Forum Mathematicum
Journal Volume
24
Journal Issue
6
Pages
1225-1238
Date Issued
2012
Author(s)
Abstract
Let $p$ be a prime congruent to 1 or 3 modulo 8 so that the equation $p=a^2+2b^2$ is solvable in integers. In this paper, we obtain closed-form expressions for $a$ and $b$ in terms of Jacobsthal sums. This is analogous to a classical identity of Jacobsthal.
Type
journal article