polymath257 Wrote:The corresponding distribution function is -ln(t).I am not sure what you mean. Distribution function has to be bound by 0 and 1, right? While -ln(1)=0, -ln(0)=infinity.
Besides, -ln(t) would be a homogenous function, always falling. The distribution of numbers in the multiplication table has short intervals of growth (that my web-app draws red).