6 citations · 10 across the 9 of their papers we have counts for
7 papers · 1 filter
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 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 .
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 , where is the total number of prime factors of .
A Remark on the Mandl's Inequality
Mehdi Hassani
In this note, first we refine Mandl's inequality. Then, we consider the product and we refine some known lower bounds for it, and we find some upper bounds for it b…
Counting primes in the interval (n^2,(n+1)^2)
Mehdi Hassani
In this note, we show that there are many infinity positive integer values of in which, the following inequality holds $$ \left\lfloor{1/2}(\frac{(n+1)^2}{\log(n+1)}-\frac{n^2}…
Euler Type Generalization of Wilson's Theorem
Mehdi Hassani, Mahmoud Momeni-Pour
In this short note, we introduce an Euler analogue of Wilson's theorem; say, where .