| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6415623 | Journal of Number Theory | 2013 | 12 Pages |
Abstract
TextWe prove two congruence results concerning Kloosterman sums over finite fields. The first result concerns the coefficients of the characteristic polynomial over QQ of a Kloosterman sum, and the second result gives a characterisation of ternary Kloosterman sums modulo 27. We use methods from algebraic number theory such as Stickelbergerʼs theorem and the Gross–Koblitz formula, as well as Fourier analysis.VideoFor a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=VJcB6W_PQ0s.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
