Affiliation:
1. Department of Mathematics Babes-Bolyai University 400084 Cluj-Napoca, Romania
Abstract
Abstract
We obtain an arithmetic proof and a refinement of the inequality ϕ (nk
) + σ
k
(n) < 2nk
, where n ≧ 2 and k ≧ 2. An application to another inequality is also provided.
Cited by
2 articles.
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1. A note on balanced numbers;Notes on Number Theory and Discrete Mathematics;2019-12
2. On certain upper bounds for the sum of divisors function σ(n);Acta Universitatis Sapientiae, Mathematica;2015-12-01