Bihomogeneous forms in many variables
Number Theory
2013-01-29 v1
Abstract
We count integer points on bihomogeneous varieties using the Hardy-Littlewood method. The main novelty lies in using the structure of bihomogeneous equations to obtain asymptotics in generically fewer variables than would be necessary in using the standard approach for homogeneous varieties. Also, we consider counting functions where not all the variables have to lie in intervals of the same size, which arises as a natural question in the setting of bihomogeneous varieties.
Cite
@article{arxiv.1301.6516,
title = {Bihomogeneous forms in many variables},
author = {Damaris Schindler},
journal= {arXiv preprint arXiv:1301.6516},
year = {2013}
}
Comments
22 pages