On the Continued Fraction Expansions of $$\sqrt{p}$$ and $$\sqrt{2p}$$ for Primes $$p\equiv 3\pmod 4$$

Stéphane R. Louboutin ()
Additional contact information
Stéphane R. Louboutin: Aix Marseille Université, CNRS, Centrale Marseille, I2M

A chapter in Class Groups of Number Fields and Related Topics, 2020, pp 175-178 from Springer

Abstract: Abstract The oddness of the length of the period of the continued fraction expansion of the square root of an odd prime integer equal to 3 modulo 4 is well known. We determine its value modulo 4. We also give a similar result for the square root of twice an odd prime integer equal to 3 modulo 4.

Keywords: Continued fraction expansion; Prime number; Ideal class group; Quadratic number field; Primary. 11A55; 11R11 (search for similar items in EconPapers)
Date: 2020
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:sprchp:978-981-15-1514-9_16

Ordering information: This item can be ordered from
http://www.springer.com/9789811515149

DOI: 10.1007/978-981-15-1514-9_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().