About Very Perfect Numbers
In this short paper we prove that the square of an odd prime number cannot be a very perfect number.
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arXiv subjects
Mihaly Bencze
Publications and source records attributed to Mihaly Bencze.
About Bernoulli's Numbers
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 Bernoulli's numbers.
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Inequalities for Integer and Fractional Parts
In this paper we present 43 new inequalities related to integer part and fractional part.
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A Generalization of A Leibniz Geometrical Theorem
In this article we present a generalization of a Leibniz's geometrical theorem and an application of it.
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Applications of Wallis Theorem
In this paper we present theorems and applications of Wallis theorem related to trigonometric integrals.
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About the Characteristic Function of a Set
In this paper we give a method, based on the characteristic function of a set, to solve some difficult problems of set theory in undergraduate research.
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