2 papers
math-ph2004
Prime Number Diffeomorphisms, Diophantine Equations and the Riemann Hypothesis
Lubomir Alexandrov, Lachezar Georgiev
We explicitly construct a diffeomorphic pair (p(x),p^{-1}(x)) in terms of an appropriate quadric spline interpolating the prime series. These continuously differentiable functions…
math.GM2002
Prime number logarithmic geometry on the plane
Lubomir Alexandrov
We found a regularity of the behavior of primes that allows to represent both prime and natural numbers as infinite matrices with a common formation rule of their rows. This regula…