𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Character Sums overp-adic Fields

✍ Scribed by Wen-Ching Winnie Li


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
359 KB
Volume
74
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.

✦ Synopsis


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


πŸ“œ SIMILAR VOLUMES


Quintic Forms overp-adic Fields
✍ David B. Leep; Charles C. Yeomans πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 288 KB

We prove that a quintic form in 26 variables defined over a p-adic field K always has a nontrivial zero over K if the residue class field of K has at least 47 elements. This is in agreement with the theorem of Ax Kochen which states that a homogeneous form of degree d in d 2 +1 variables defined ove

On certain character sums over p -adic r
✍ RΓ©gis Blache πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 244 KB

## Abstract In this paper we present a new method for evaluating exponential sums associated to a restricted power series in one variable modulo __p__^__l__^ , a power of a prime. We show that for sufficiently large __l__, these sums can be expressed in terms of Gauss sums. Moreover, we study the a

Character Sums, Primitive Elements, and
✍ 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

On Lower Bounds for Incomplete Character
✍ Ferruh Γ–zbudak πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 290 KB

The purpose of this paper is to extend results of Stepanov (1980;1994) about lower bounds for incomplete character sums over a prime finite field F p to the case of arbitrary finite field F q .

2-Adic Groups and Character Formulas
✍ K.M. Kronstein; M.S. Mazur πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 80 KB

Karl M. Kronstein Department of Mathematics, Unitersity of Notre Dame, Notre Dame, Indiana 46556 AND Mark S. Mazur Departmem of Mathematics and Computer Science, Duquesne University, Pittshurgh, Pennsyhania 15282 Communicated by walter Feit Received February 15, 1985 ## INTRODUCTION In this p