A precise estimation of the computational complexity in Shor's factoring   algorithm
  A precise estimation of the computational complexity in Shor's factoring algorithm under the condition that the large integer we want to factorize is composed by the product of two prime numbers, is derived by the results related to number theory. Compared with Shor's original estimation, our estimation shows that one can obtain the solution under such a condition, by less computational complexity. 
K. Kuriyama, S. Sano and S. Furuichi