On the representation of integers by binary forms
Number Theory
2019-11-13 v2
Abstract
Let be a binary form with integer coefficients, non-zero discriminant and degree with at least . Let denote the number of integers of absolute value at most which are represented by . We prove that there is a positive number such that is asymptotic to .
Keywords
Cite
@article{arxiv.1605.03427,
title = {On the representation of integers by binary forms},
author = {C. L. Stewart and Stanley Yao Xiao},
journal= {arXiv preprint arXiv:1605.03427},
year = {2019}
}
Comments
26 pages, revised version