Email this article On Sums of Products in \(\mathbb{F}_p \times \mathbb{F}_p\)
- Authors: Popova S.N.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 106, No 1-2 (2019)
- Pages: 258-273
- Section: Article
- URL: https://ogarev-online.ru/0001-4346/article/view/151827
- DOI: https://doi.org/10.1134/S0001434619070290
- ID: 151827
Cite item
Open Access
Access granted
Subscription Access
Abstract
The problem of sums of products in \(\mathbb{F}_p \times \mathbb{F}_p\) is considered. An estimate for sums of products improving Bourgain’s result of 2005 is obtained. This estimate is applied to the problem of estimating polynomial exponential sums over multiplicative subgroups in \(\mathbb{F}_p^*\).
Keywords
About the authors
S. N. Popova
Lomonosov Moscow State University
Author for correspondence.
Email: popovaclaire@mail.ru
Russian Federation, Moscow, 119991
Supplementary files
