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
On the theorem of Barban and Davenport-Halberstam in algebraic number fields
✍ Scribed by Jürgen G Hinz
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 740 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
Let LÂk and TÂk be finite extensions of algebraic number fields. In the present work we introduce the factor group of k\* & N LÂk J L N TÂk J T by (k\* & N TÂk J T ) N LÂk 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
## Abstract One of the basic results in graph colouring is Brooks' theorem [R. L. Brooks, Proc Cambridge Phil Soc 37 (1941) 194–197], which asserts that the chromatic number of every connected graph, that is not a complete graph or an odd cycle, does not exceed its maximum degree. As an extension o