Elementary Prime number Theorem
1. Selberg symmetry identity :
Proof:
2. Tauberian argument
Iterative arguments- Using Brun-Titchmarsh
Relation to the analytic proof and non-vanishing of zeta(s) on Where are the zeroes?
Smoothing of mobius- to get these higher Von Mangoldt functions.
Relation to Chebyshev’s estimates? Approximations to mobius..
Error terms in this elementary proof- use generalized Selberg identities for