SUMS OF INVERSES IN THIN SETS OF FINITE FIELDS

被引：2

作者：

Shparlinski, Igor E. ^{[1
]}

Zumalacarregui, Ana ^{[1
]}

机构：

[1] Univ New South Wales, Dept Pure Math, Sydney, NSW 2052, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 04期

关键词：

Finite fields; polynomials; inversions; sum-sets; VARIABLES;

D O I：

10.1090/proc/13915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain lower bounds for the cardinality of k-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.

引用

页码：1377 / 1388

页数：12

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