Twin Primes and the Zeros of the Riemann Zeta Function

H. J. Weber

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arXiv · 1208.3374

Twin Primes and the Zeros of the Riemann Zeta Function

H. J. Weber

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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.

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H. J. Weber. 2012-08-16. Twin Primes and the Zeros of the Riemann Zeta Function. https://arxiv.org/abs/1208.3374

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