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We obtain an arithmetic proof and a refinement of the inequality ϕ (nk) + σk(n) < 2nk, where n ≧ 2 and k ≧ 2. An application to another inequality is also provided.

eISSN:
1844-0835
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics