𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the distribution of reduced residues in algebraic number fields

✍ Scribed by Alvaro Cofré-Matta; Harold N. Shapiro

Publisher
John Wiley and Sons
Year
1977
Tongue
English
Weight
845 KB
Volume
30
Category
Article
ISSN
0010-3640

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Distribution of Integer Ideals in
On the Distribution of Integer Ideals in Algebraic Number Fields
✍ 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 the Units of Algebraic Number Fields
On the Units of Algebraic Number Fields
✍ I. Yamaguchi; H. Takeuchi 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 99 KB

Let \(K\) be an algebraic number field and \(k\) be a proper subfield of \(K\). Then we have the relations between the relative degree \([K: k]\) and the increase of the rank of the unit groups. Especially, in the case of \(m\) th cyclotomic field \(Q\left(\zeta_{m}\right)\), we determine the number

The Sum of Digits Function in Number Fie
The Sum of Digits Function in Number Fields: Distribution in Residue Classes
✍ Jörg M Thuswaldner 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 153 KB

Canonical number systems are the natural generalization of q-adic number systems to number fields. Such number systems admit a certain representation of each algebraic integer of a given number field with respect to the powers of a given base number b. The aim of this paper is to study the sum of di

Computing in the Field of Complex Algebr
Computing in the Field of Complex Algebraic Numbers
✍ ADAM WOJCIECH STRZEBOŃSKI 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 371 KB

In this paper we present two methods of computing with complex algebraic numbers. The first uses isolating rectangles to distinguish between the roots of the minimal polynomial, the second method uses validated numeric approximations. We present algorithms for arithmetic and for solving polynomial e