On a binary system of Prendiville: The cubic case
Number Theory
2018-09-25 v2 Classical Analysis and ODEs
Abstract
We prove sharp decoupling inequalities for a class of two dimensional non-degenerate surfaces in R^5, introduced by Prendiville. As a consequence, we obtain sharp bounds on the number of integer solutions of the Diophantine systems associated with these surfaces.
Cite
@article{arxiv.1701.06732,
title = {On a binary system of Prendiville: The cubic case},
author = {Shaoming Guo},
journal= {arXiv preprint arXiv:1701.06732},
year = {2018}
}
Comments
16 pages; an interpolation was used incorrectly. This error has been fixed in the current version