M. Hassani

activity

20052007

most citedA Remark on the Mandl's Inequality

6 citations · 10 across the 9 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.NT2007

Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros

Soheila Emamyari, Mehdi Hassani

In this note, we give some explicit upper and lower bounds for the summation $\sum_{0 < γ \leq T} \frac{1}{γ}$ , where $γ$ is the imaginary part of nontrivial zeros $ρ = β + iγ$ of $ζ (s)$ .

math.CA2007

Some New Inequalities Between Important Means

Jamal Rooin, Mehdi Hassani

In this paper, mainly using the convexity of the function $\frac{a ^{x} - b ^{x}}{c ^{x} - d ^{x}}$ and convexity or concavity of the function $ln \frac{a ^{x} - b ^{x}}{c ^{x} - d ^{x}}$ on the real line, where…

math.NT2007★ 1 cited

On a Result of Hardy and Ramanujan

M. Avalin Charsooghi, Y. Azizi, M. Hassani +1

In this paper, we introduce some explicit approximations for the summation $\sum_{k \leq n} Ω (k)$ , where $Ω (k)$ is the total number of prime factors of $k$ .