On sign determinations in real algebraic number fields
โ Scribed by H. Kempfert
- Publisher
- Springer-Verlag
- Year
- 1968
- Tongue
- English
- Weight
- 230 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0029-599X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let k be an algebraic number field of degree n over &, n =rl+ 2rs and let WI, . . . . Wn be a fixed basis of the ring of integers o over 2. For z E k, z= zB1 qwt, at E (1, c(z, R) will denote the disc {c E k, c= 2 biwi, bt E Q, ~i1~-bt12=zfi} and ~(0, R) will be the disc (CE k, 5= zbtiwr, xb; (log ]
Let 2 be the ring of rational integers. For n E Z, w(n) denotes the number of distinct prime factors of n. In [4] Ramachandra, Shorey and Tijdeman proved that if 1 k, where c > 0 is an effectively computable constant. In this paper, we will generalise this problem to the case of imaginary quadratic