Title

Jacobsthal identity for Q(√ - 2)

Document Type

Article

Publication Date

11-1-2012

Abstract

Let p be a prime congruent to 1 or 3 modulo 8 so that the equation p = a 2 C 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. © de Gruyter 2012.

Publication Source (Journal or Book title)

Forum Mathematicum

First Page

1225

Last Page

1238

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