This paper gives a detailed proof of Euler's theorem, which is the divergence of a series of reciprocals of the primes. The key idea of the proof is to assume the series converges and then complete the proof by contradiction.

The four figures of power of base numbers tables is need to be created for easy synchronization with existing Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five figures of Kifil...

The four figures of power of base numbers tables is need to be created for easy synchronization with existing Logarithm table of power of base 10 which is working on four figures. Although the five figures of power of base numbers tables is more accurate because it is having less approximation in its establishment. The four figure tables is easy to compute doing utilization because it is having less digit to work with. This paper presents the four and five figures of Kifil...

ABSTRACT Nigeria aspires for qualitative education as well as economic prosperity in the year 2010. It is envisaged that there will be a high level of technological sophistication by the twenty-first century world wide. In order not to be left behind there is need for Nigeria to take steps in ensuring high technological advancement as well as having sustainable economic growth. The important role that mathematics plays in science and technology has ensured its inclusion as a compulsory ...

Abstract. We generate two new exact models for the Einstein–Maxwell field equations. In our models, we consider the stellar object that is anisotropic and charged with linear equation of state consistent with quark stars. We have a new choice of measure of anisotropy that is physically reasonable. It is interesting that in our models we regain previous isotropic results as special cases. Isotropic exact solutions regained include models by Komathiraj and Maharaj; Mak and Harko; and Misn...

AbstractIn this paper, we present the q-analogues of some inequalities concerning the digamma function.

AbstractBy utilizing some basic analytical techniques, the authors establish some new Gamma function inequalities occurring in the study of Probability Theory.

Abstract. In this paper, we present the (p,q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.

AbstractSome inequalities involving the k-digamma function are presented. These results are the k-analogues of some recent results.

Abstract In this short paper, the authors establish some inequalities involving the q and (q,k) deformed Gamma functions by employing some basic analytical techniques.

AbstractIn this paper, we present the k-analogues of some inequalities concerning the digamma function.

Abstract Some inequalities involving the (q, k)-digamma function are presented. These results are the (q, k)-analogues of some recent results.

Abstract In this paper, the (q, k)-analogues of some inequalities involving the Psi function are presented. These results generalize some earlier results presented by W. T. Sulaiman. The approach is based on some mononicity properties of some functions involving the ψq,k function.

Abstract Some inequalities involving the p-digamma function are presented. These results are the p-analogues of some recent results.

Abstract Some inequalities involving the q-digamma function are presented. These results are the q-analogues of some recent results.