连续整数区间的算术性质
数论
2016-12-19 v1
摘要
本文综述了关于连续整数区间的最大素因子、不同素因子个数、最大无平方因子以及最大无 次幂部分的结果，包括在无任何假设以及在假设 abc 猜想下的情况。最后我们证明了显式 abc 猜想蕴含了对每个 的 Erd\H{o}s-Woods 猜想。
引用
@article{arxiv.1612.05438,
title = {Arithmetic properties of blocks of consecutive integers},
author = {Tarlok N. Shorey and Rob Tijdeman},
journal= {arXiv preprint arXiv:1612.05438},
year = {2016}
}
备注
A slightly corrected and extended version of a paper which will appear in January 2017 in the book From Arithmetic to Zeta-functions published by Springer