二元四次多项式不能表示所有非负整数
数论
2023-07-14 v2
摘要
本文中，我们证明不存在 满足 且 。特别地，这回答了 John S. Lew 与 Bjorn Poonen 关于四次多项式的一个问题。
引用
@article{arxiv.2307.05712,
title = {Quartic polynomials in two variables do not represent all non-negative integers},
author = {Stanley Yao Xiao and Shuntaro Yamagishi},
journal= {arXiv preprint arXiv:2307.05712},
year = {2023}
}
备注
We made a few changes in the wording and fixed typos. 25 pages. See link for Poonen's question on MathOverflow: https://mathoverflow.net/questions/9731/polynomial-representing-all-nonnegative-integers