Catalan STAR

Welcome to my website. I'm an experimental mathematician interested in number theory.

My Erdös number is 3.

I'm currently developing the theory of good variation which forms part of the more general tauberian theory.

Here my first attempt to demonstrate the truth of RH and some of its generalisations:

RH is a topological property


I have given a talk on the subject at Rutgers experimental mathematics seminar (February 4, 2016). There is a video of the talk in 2 parts:

Good Variation Theory Talk Part I

Good Variation Theory Talk Part II

 Hereafter you can find a link to a draft where I explain this theory with details and examples:

Good Variation Theory version of February 13, 2016 

For a shorter draft see:

Good Variation Theory: a Tauberian approach to RH

And for an essay on Algebraic Topology and RH see:

The space of functions of good variation: an algebraic topological approach to RH

fig 35 new