Sums of inverses in thin sets of finite fields
Number Theory
2016-11-24 v1
Abstract
We obtain lower bounds for the cardinality of -fold sum-sets of reciprocals of elements of suitable defined short intervals in high degree extensions of finite fields. Combining our results with bounds for multilinear character sums we obtain new results on incomplete multilinear Kloosterman sums in finite fields.
Keywords
Cite
@article{arxiv.1611.07647,
title = {Sums of inverses in thin sets of finite fields},
author = {Igor E. Shparlinski and Ana Zumalacárregui},
journal= {arXiv preprint arXiv:1611.07647},
year = {2016}
}