On certain bounds for the divisor function

HIGHLIGHTS

• Who: Jozsef Sándor from the Department of, Babeş-Bolyai University have published the research: On certain bounds for the divisor function, in the Journal: (JOURNAL)

SUMMARY

From and_(5) the authors get φ(n) ≤ n - √ n and amp;lt; n - d(n) for n ≥ 1262, composite, so the authors get d(n) and amp;lt; √ n and amp;lt; n - φ(n) for such values of n. One has √ σ(n) - ( n - 1)2 ω(n)σ(n) + φ(n) σ(n) √ ≤ d(n) ≤ 2≤ and amp;lt; √ n n n for n ≥ 2, where the second inequality holds . . .

 



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