A paucity problem for certain triples of diagonal equations
Number Theory
2021-06-09 v1
Abstract
We consider certain systems of three linked simultaneous diagonal equations in ten variables with total degree exceeding five. By means of a complification argument, we obtain an asymptotic formula for the number of integral solutions of this system of bounded height that resolves the associated paucity problem.
Cite
@article{arxiv.2106.03986,
title = {A paucity problem for certain triples of diagonal equations},
author = {Joerg Bruedern and Trevor D. Wooley},
journal= {arXiv preprint arXiv:2106.03986},
year = {2021}
}
Comments
15 pages