Document Type

Article

Publication Date

2007

Abstract

In this paper we show how to construct several infinite families of polynomials D(¯x, k), such that p D(¯x, k) has a regular continued fraction expansion with arbitrarily long period, the length of this period being controlled by the positive integer parameter k. We also describe how to quickly compute the fundamental units in the corresponding real quadratic fields.

Publication Title

Acta Arithmetica

ISSN

0065-1036

Publisher

Institute of Mathematics, Polish Academy of Sciences

Volume

127

Issue

4

First Page

365

Last Page

389

Comments

Preprint version is available here.

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