In the thirties of last century, I. M. Vinogradov established uniform distribution modulo 1 sequence pα when α is a fixed irrational real number and p runs over primes. particular, he showed that inequality ||pα||≤p−1/5+ε has infinitely prime solutions p, where ||.|| denotes distance to nearest integer. This result subsequently been improved by many authors. The current record due Matomäki (200...

We describe how to obtain electronic transport properties of disordered graphene, including the tight binding model and nearest neighbor hopping. We present a new method for computing, electronic transport wave function and Greens function of the disordered Graphene. In this method, based on the small rectangular approximation, break up the potential barriers in to small parts. Then using the f...