The Disproof of the Riemann Hypothesis
We show that there is a contradiction between the Riemann's Hypothesis and some form of the theorem on the universality of the zeta function.
math.GM↗
arXiv subjects
C. Dumitrescu
Publications and source records attributed to C. Dumitrescu.
Smarandache Type Function Obtained by Duality
In this paper we extend the Smarandache function from the set $N*$ of positive integers to the set $Q$ pf rational numbers. Using the inverse formula, this function is also regarded as a generating function. We put in evidence a procedure to construct a (numerical) function starting from a given function in two particular cases. Also, connections between this function and Euler totient function as well as with Riemann zeta function are established.
math.GM↗