On ideal classes of number fields containing integral ideals of equal norms
โ Scribed by Wen-Ch'ing Winnie Li; B.Z Moroz
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 708 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
fields, the problem is essentially a planar lattice point problem (cf. ZAGIER [17]). To this, the deep results of HUXLEY [3], [4] can be applied to get For cubic fields, W. MULLER [12] proved that ## 43 - (h the class number), using a deep exponential sum technique due to KOLESNIK [7]. every n
Let K be a real abelian number field satisfying certain conditions and K n the n th layer of the cyclotomic Z p -extension of K. We study the relation between the p-Sylow subgroup of the ideal class group and that of the unit group module the cyclotomic unit group of K n . We give certain sufficient
Let Lรk and Tรk be finite extensions of algebraic number fields. In the present work we introduce the factor group of k\* & N Lรk J L N Tรk J T by (k\* & N Tรk J T ) N Lรk L\*, where J L and J T are the idele groups of L and T, respectively. The main theorem shows that the computation of this factor