On the length of the period of a real quadratic irrational

N. Saradha ()
Additional contact information
N. Saradha: Tata Institute of Fundamental Research

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 3, 311-321

Abstract: Abstract We review some known and not so well known results on the length of the period of the continued fraction expansion of a quadratic irrational $$\sqrt D $$ D with D > 0: We also show that this length is o((DlogD)1/2) for almost all D.

Keywords: Quadratic irrational; continued fraction expansion; period; length (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-017-0229-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:48:y:2017:i:3:d:10.1007_s13226-017-0229-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-017-0229-4

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().