Collatz conjecture (stated in 1937 by Collatz and also named Thwaites conjecture, or Syracuse, 3n+1 or oneness problem) can be described as follows: Take any positive whole number N. If N is even, divide it by 2. If it is odd, multiply it by 3 and add 1. Repeat this process to th...
Open access
Research Article10.9734/arjom/2019/v14i230123
Riemann hypothesis is a conjecture that real part of every non-trivial zero of the Riemann zeta function is 1/2. The main contribution of this paper is to achieve the proof of Riemann hypothesis. The key idea is to provide an Hamiltonian operator whose real eigenvalues correspond...
Open access
Research Article10.9734/ARJOM/2018/40341