𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the Distribution of Integer Ideals in
✍ Werner Georg 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 585 KB

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 an Obstruction to the Hasse Norm Prin
✍ Leonid Stern 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 214 KB

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

A list version of Dirac's theorem on the
✍ Alexandr V. Kostochka; Michael Stiebitz 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 110 KB 👁 2 views

## 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