Twin Primes and the Zeros of the Riemann Zeta Function
arXiv:1208.3374
Abstract
The Legendre type relation for the counting function of ordinary twin primes is reworked in terms of the inverse of the Riemann zeta function. Its analysis sheds light on the distribution of the zeros of the Riemann zeta function in the critical strip and their links to primes and the twin prime problem.
arXiv commentSubstantially revised including accurate error estimates throughout