Authors: Jose Javier Garcia Moreta
ABSTRACT: In this paper we review some results of our previous papers involving Riemann Hypothesis in the sense of Operator theory (Hilbert-Polya approach) and the application of the negative values of the Zeta function (1 s) to the divergent integrals 1 0 s x dx and to the problem of defining a consistent product of distributions of the form ( ) ( ) m n D x D x , in this paper we present new results of how the sums over the non-trivial zeros of the zeta function h( ) can be related to the Mangoldt function 0 (x) assuming Riemann Hypothesis.Throughout the paper we will use the notation ( ) ( ) R s s meaning that we use the zeta regularization for the divergent series 0 s n n s>0 or s=0
Comments: 18 Pages.
Unique-IP document downloads: 198 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.