## The Riemann Hypothesis and the Robin Inequality

**Authors:** Choe Ryong Gil

The Riemann hypothesis is one of the most important unsolved problems in the modern mathematics. The Riemann hypothesis is closely related with the distribution of prime numbers. The Robin inequality is one of the famous criterions for the Riemann hypothesis. The Robin inequality is related with the sum of divisors function. In this paper we prove that the Robin inequality holds unconditionally. The main idea is to prove a certain inequality on the sum of divisors function, whch is equivalent to the Robin inequality.

**Comments:** 12 pages, 1 schema

**Download:** **PDF**

### Submission history

[v1] 2012-02-16 22:54:53

[v2] 2012-03-23 11:28:14

**Unique-IP document downloads:** 235 times

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*