  I present two independent proofs of the Riemann Hypothesis considered by many
the greatest unsolved problem in mathematics. I find that the admissible domain
of complex zeros of the Riemann Zeta Function is the critical line. The methods
and results of this paper are based on well-known theorems on the number of
zeros for complex value functions (Jensen, Titchmarsh, Rouche theorems), with
the Riemann Mapping Theorem acting as a bridge between the Unit Disk on the
complex plane and the critical strip. By primarily relying on well-known
theorems of complex analysis our approach makes this paper accessible to a
relatively wide audience permitting a fast check of its validity. Both proofs
do not use any functional equation of the Riemann Zeta Function, except
leveraging its implied symmetry for non-trivial zeros on the critical strip.
