6 citations · 10 across the 9 of their papers we have counts for
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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 $$ \left\lfloor{1/2}(\frac{(n+1)^2}{\log(n+1)}-\frac{n^2}…
Counting and Computing by
Mehdi Hassani
In this paper we count the number of paths and cycles in complete graphs by using the number . Also, we compute the number of derangements in same way. Connection by yields…
Euler Type Generalization of Wilson's Theorem
Mehdi Hassani, Mahmoud Momeni-Pour
In this short note, we introduce an Euler analogue of Wilson's theorem; say, where .
Approximation of the Multiplication Table Function
Mehdi Hassani
In this paper, considering the concept of Universal Multiplication Table, we show that for every , the inequality: $$ M(n)=#\{ij|1\leq i,j\leq n\}\geq\frac{n^2}{\mathfrak{…