Over time I made some interesting discoveries and I think it would be a pitty to let them rot in my documents. Unfortunatelly I neither have the time nor the patience§ to find out what is known already. I wouldn’t know how to search and what to look for.

›ρ-function‹ - a smooth function which I discovered during the research for my master’s thesis. It satisfies the equation ρ'(x)=2ρ(2x).
The article was published in the December 2013 edition of the ›Wurzel‹ magazine, My first publication as first author! Now I am famous like Euler. I was contacted by ›Prof. Wegert‹ of the TU Bergakademie Freiberg, who told me, that the ρ-function is probably an ›atomic function‹.