A better method than t-free for Robin's hypothesis

Xiaolong Wu

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arXiv · 1812.00987

A better method than t-free for Robin's hypothesis

Xiaolong Wu

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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.

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Xiaolong Wu. 2018-12-01. A better method than t-free for Robin's hypothesis. https://arxiv.org/abs/1812.00987

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