7 papers
About Very Perfect Numbers
Mihaly Bencze, Florin Popovici, Florentin Smarandache
In this short paper we prove that the square of an odd prime number cannot be a very perfect number.
About Bernoulli's Numbers
Mihaly Bencze, Florentin Smarandache
In this article we present a simple proof of Borevich-Shafarevich's method to compute the sum of the first n natural numbers of the same power. We also prove several properties of…
About Factorial Sums
Mihaly Bencze, Florentin Smarandache
Certain new inequalities for the sums of factorials are presented.
Inequalities for Integer and Fractional Parts
Mihaly Bencze, Florentin Smarandache
In this paper we present 43 new inequalities related to integer part and fractional part.
A Generalization of A Leibniz Geometrical Theorem
Mihaly Bencze, Florin Popovici, Florentin Smarandache
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
Applications of Wallis Theorem
Mihaly Bencze, Florentin Smarandache
In this paper we present theorems and applications of Wallis theorem related to trigonometric integrals.