𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the distribution of ideals in cubic number fields

✍ Scribed by Wolfgang Müller


Publisher
Springer Vienna
Year
1988
Tongue
English
Weight
323 KB
Volume
106
Category
Article
ISSN
0026-9255

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 Smooth Ideals in Number Fields
✍ Johannes A Buchmann; Christine S Hollinger 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 310 KB

For y # R >0 an integral ideal of an algebraic number field F is called y-smooth if the norms of all of its prime ideal factors are bounded by y. Assuming the generalized Riemann hypothesis we prove a lower bound for the number F (x, y) of integral y-smooth ideals in F whose norms are bounded by x #

Class Numbers of Orders in Cubic Fields
✍ Anton Deitmar 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 185 KB

In this paper it is shown that the sum of class numbers of orders in complex cubic fields obeys an asymptotic law similar to the prime numbers as the bound on the regulators tends to infinity. Here only orders are considered which are maximal at two given primes. This result extends work of Sarnak i