6 citations · 12 across the 16 of their papers we have counts for
17 papers
Global numerical bounds for the number-theoretic omega functions
Mehdi Hassani
We obtain global explicit numerical bounds, with best possible constants, for the differences and$ \frac{1}{n}\sum_{k\leq n}Ω(k)-\log\log…
On the geometric mean of the values of positive multiplicative arithmetical functions
Mehdi Hassani, Mohammadreza Esfandiari
In this paper we obtain asymptotic expansion for the geometric mean of the values of positive strongly multiplicative function satisfying for any pr…
On a question of Luca and Schinzel over Segal-Piatetski-Shapiro sequences
Jean-Marc Deshouillers, Mehdi Hassani, Mohammad Nasiri-Zare
We extend to Segal-Piatetski-Shapiro sequences previous results on the Luca-Schinzel question over integral valued polynomial sequences. Namely, we prove that for any real larg…
Explicit estimates on prime numbers
Yuanyou Cheng, Glenn J. Fox, Mehdi Hassani
This submission has been withdrawn by arXiv admins due to fraudulent affiliation claims by the original submitter.
Analytic implication from the prime number theorem
Yuanyou Cheng, Glenn Fox, Mehdi Hassani
Let . The -form of the prime number theorem is $ψ(x) =\sum\sb{n \le x}Λ(n) =x +O\bigl(x\sp{1-H(x)} \log\sp{2} x\big)$, where is a certain function of with $0<…
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 , where is the imaginary part of nontrivial zeros of .