A better method than t-free for Robin's hypothesis
Number Theory
2018-12-31 v2
Abstract
For a positive integer t>1, an integer N is called t-free if the exponent of any prime factor of N is less than t. Some works shown if N is t-free, then N satisfies Robin's inequality, for t=5, 7, 11, 16. This article shows that the condition of t-free can be resuced to "N cannot be divided by t-th power of 2". I proved that if N cannot be divided by 17-th power of 2, then N satisfies Robin's inequality.
Keywords
Cite
@article{arxiv.1812.00987,
title = {A better method than t-free for Robin's hypothesis},
author = {Xiaolong Wu},
journal= {arXiv preprint arXiv:1812.00987},
year = {2018}
}
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6 pages