The Schur subgroup of a real quadratic field, II
โ Scribed by Toshihiko Yamada
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 600 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In the preceding paper, (K. Tomita, Proc. Japan Acad. Ser. A Sci. Math. 71 (1995), 41 43), for all real quadratic fields Q(-d ) such that the period k d of the continued fraction expansion of d) and d itself by using two parameters appearing in the continued fraction expansion of | d ; In this paper
Williams, H.C., Some formulas concerning the fundamental unit of a real quadratic field, Discrete Mathematics 92 (1991) 431-440. Let E be the fundamental unit of a real quadratic field of discriminant d and let integers V, and U" be defined by (V" + u&ii/2 = &". It is well known that it p is any odd
Suppose g > 2 is an odd integer. For real number X > 2, define S g รฐX ร the number of squarefree integers d4X with the class number of the real quadratic field Qรฐ ffiffiffi d p ร being divisible by g. By constructing the discriminants based on the work of Yamamoto, we prove that a lower bound S g รฐX