Mathematics – Number Theory
Scientific paper
2008-10-02
Mathematics
Number Theory
21 pages
Scientific paper
The Waring function $g(k,q)$ measures the difficulty of Waring's problem for $k$th powers in the field of $q$ elements. Its calculation seems to be difficult, and many partial results have been published, notably upper bounds for certain regions of the $k$-$q$-plane. In this paper, we compute the exact value of $g(k,q)$ for two infinite families of exponent-field pairs. In these, $k$ is large compared to $q$. We use a new method of proof that is mainly combinatorial in nature.
de Woestijne Christiaan van
Winterhof Arne
No associations
LandOfFree
Exact solutions to Waring's problem for finite fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact solutions to Waring's problem for finite fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solutions to Waring's problem for finite fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-493069