I have a diploma in math, but have never published anything. Now I am doing math in my spare time and came to the following result. Now I want to know if there is interest in this result or not, so to publish or not? Let $\tau(n)$ be the number of divisors of $n$, $(n,l)$ be the $\gcd(n,l)$ and $H_n$ be the $n$-th harmonic number. Then I believe I can prove that: $$\tau(n) \le \frac{1}{n}\sum_{0\le l \le n-1} \bigg( H_{(n,l)} + \exp(H_{(n,l)})\cdot \log(H_{(n,l)}) \bigg)$$ is equivalent to Riemann hypothesis. The proof makes use of Lagarias inequality and of some group theoretic result. What do you think, is there interest in this kind of thing or not and how should I go on when I want to publish?

Edit: I wrote the notes down. It would be nice if someone interested takes the time to read it and gives me feedback. Unfortunately I can not upload to arxiv.