Authors: Choe Ryong Gil
The Robin inequality is well known. This inequality is one of the most important and famous criterion for the Riemann hypothesis, but it is unsolved completely yet. In this paper we prove one inequality on the sum of divisors function. This inequality is closely related with the Robin inequality. The main idea is to introduce a new concept, which would be called a sigma-index of the natural number.
Comments: 25 pages, 2 tables
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