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Twin Primes and the Zeros of the Riemann Zeta Function
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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 link to the twin prime problem.
Keywords
Zeta Zeros, Twin Primes, Non-ranks, Perron Integrals
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