Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields. (1st December 2018)

• Record Type: Journal Article
• Authors: Macourt, Simon; Shkredov, Ilya D.; Shparlinski, Igor E.
• Is Part Of: Canadian journal of mathematics. Volume 70:Number 6(2018)
• Page Start: 1319
• Page End: 1338
• Publication Date: 2018-12-01
• Subjects: 11L07 -- 11T23; exponential sum -- sparse polynomial -- trinomial; Mathematics -- Periodicals; Mathematics; Electronic journals; Periodicals; 510
• DOI: 10.4153/CJM-2017-044-2
• Languages: English
• ISSNs: 0008-414X

Abstract

Abstract: We prove a new bound on collinear triples in subgroups of prime finite fields and use it to give some new bounds on exponential sums with trinomials.