Random Diophantine inequalities of additive type
Number Theory
2011-10-18 v1
Abstract
Using the Davenport-Heilbronn circle method, we show that for almost all additive Diophantine inequalities of degree in more than variables the expected asymptotic formula for the density of solutions holds true. This appears to be the first metric result on Diophantine inequalities.
Cite
@article{arxiv.1110.3496,
title = {Random Diophantine inequalities of additive type},
author = {Jörg Brüdern and Rainer Dietmann},
journal= {arXiv preprint arXiv:1110.3496},
year = {2011}
}
Comments
13 pages