On Bounds for Fundamental Units of Real Quadratic Fields
✍ Scribed by S.I. Katayama; S. Katayama
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 186 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
📜 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
to my teacher, professor tsuneo kanno, on his 70th birthday For an odd prime number p and a real quadratic field k, we consider relative unit groups for intermediate fields of the cyclotomic Z p -extension of k and discuss the relation to Greenberg's conjecture. 1997 Academic Press 2 which were def
For a prime number p, let ކ p be the finite field of cardinality p and X ϭ X p a fixed indeterminate. We prove that for any natural number N, there exist infinitely many pairs ( p, K/ކ p (X )) of a prime number p and a ''real'' quadratic extension K/ކ p (X ) for which the genus of K is one and