Weil Sums over Small Subgroups
Copyright policy )Weil Sums over Small Subgroups
AbstractWe obtain new bounds on short Weil sums over small multiplicative subgroups of prime finite fields which remain nontrivial in the range the classical Weil bound is already trivial. The method we use is a blend of techniques coming from algebraic geometry and additive combinatorics.
- University of Canterbury New Zealand
- UNSW Sydney Australia
Mathematics - Number Theory, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 510, 004, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT)
Mathematics - Number Theory, anzsrc-for: 4903 Numerical and Computational Mathematics, 4904 Pure Mathematics, anzsrc-for: 0101 Pure Mathematics, anzsrc-for: 4904 Pure Mathematics, 510, 004, anzsrc-for: 49 Mathematical Sciences, 4903 Numerical and Computational Mathematics, 49 Mathematical Sciences, FOS: Mathematics, Number Theory (math.NT)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!