𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Character Sums in Algebraic Number Fields

✍ Scribed by U. Rausch

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
428 KB
Volume
46
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Character Sums overp-adic Fields
Character Sums overp-adic Fields
✍ Wen-Ching Winnie Li πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 359 KB

that ' v has conductor v. In conclusion, for f =P v , the conductor of the associated ' at v is p r&1 v. Since ' /, f is multiplicative in f, for a general f

Character Sums, Primitive Elements, and
Character Sums, Primitive Elements, and Powers in Finite Fields
✍ Arne Winterhof πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 148 KB

Consider an extension field F q m =F q (a) of the finite field F q . Davenport proved that the set F q +a contains at least one primitive element of F q m if q is sufficiently large with respect to m. This result is extended to certain subsets of F q +a of cardinality at least of the order of magnit

GrΓΆbner Bases in Orders of Algebraic Num
GrΓΆbner Bases in Orders of Algebraic Number Fields
✍ David Andrew Smith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 281 KB

We prove that any order O of any algebraic number field K is a reduction ring. Rather than showing the axioms for a reduction ring hold, we start from scratch by well-ordering O, defining a division algorithm, and demonstrating how to use it in a Buchberger algorithm which computes a GrΓΆbner basis g