Journal of Algebra, Number Theory: Advances and Applications

Abstract

The aim of the present essay is to investigate whether it is possible to approach the age-old problem of the hypothesis by elementary algebraic means. However, the results about the properties of the Zeta function acquired by professional mathematicians in more than 150 years of research using advanced theories and methods are here taken for granted and freely taken avail of. The necessary implication of our developments appears to be that non-trivial zero-points cannot exist outside the critical line .