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On Lower Bounds for Incomplete Character Sums over Finite Fields

✍ Scribed by Ferruh Özbudak


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
290 KB
Volume
2
Category
Article
ISSN
1071-5797

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✦ Synopsis


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 .


📜 SIMILAR VOLUMES


Hilbert Class Field Towers of Function F
✍ Alexandre Temkine 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 184 KB

We obtain lower bounds for the asymptotic number of rational points of smooth algebraic curves over finite fields. To do this we construct infinite Hilbert class field towers with good parameters. In this way we improve bounds of Serre, Perret, and Niederreiter and Xing.