Some more Long Continued Fractions, I

Authors

• James McLaughlin, West Chester University of PennsylvaniaFollow
• Peter Zimmer, West Chester University of PennsylvaniaFollow

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.

Comments

Preprint version is available here.

Publication Title

Acta Arithmetica

Recommended Citation

McLaughlin, J., & Zimmer, P. (2007). Some more Long Continued Fractions, I. Acta Arithmetica, 127(4), 365-389. Retrieved from https://digitalcommons.wcupa.edu/math_facpub/57