On the Riemann Function

On the Riemann Hypothesis for function fields

We prove a variant of Connes’s trace formula and show how it can be used to give a new proof of the Riemann hypothesis for L-functions with Größencharacter for function fields.

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Mollifying the Riemann Zeta-function

On The Riemann Hypothesis For The Characteristic p Zeta Function

On the zeroes of the Riemann zeta function

The paper formulates a condition such that if the condition holds the Riemann Hypothesis is true.