The length of the period of the simple continued fraction of $d^{1/2}$.



Pacific Journal of Mathematics

The length of the period of the simple continued fraction of $d^{1/2}$.

J. H. E. Cohn

Source: Pacific J. Math. Volume 71, Number 1 (1977), 21-32.

Primary Subjects: 10A30
Secondary Subjects: 12A45

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102811631
Zentralblatt MATH identifier: 0367.10030
Mathematical Reviews number (MathSciNet): MR0457335

References

[1] Dean R. Hickerson, Length of period of simple continued fraction expansion of V d, Pacific J. Math., 46 (1973), 429-432.
Mathematical Reviews (MathSciNet): MR48:246
Zentralblatt MATH: 0236.40003
[2] D. H.Lehmer, The economics of number theoretic computation^ Computers inNumber Theory, A.0. L. Atkin and B. J. Birch, Academic Press, 1971, p. 5.
[3] P. G. Stephens, Optimizing the size of L(l, ), Proc. Lond. Math. Soc, (3) 24 (1972), 1-14.
Mathematical Reviews (MathSciNet): MR45:1854
Zentralblatt MATH: 0225.10043

2008 © Pacific Journal of Mathematics