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Spectral Methods And Prime Numbers Counting Problems

Published 26 Aug 2015 in math.GM | (1509.00457v8)

Abstract: A recent heuristic argument based on basic concepts in spectral analysis showed that the twin prime conjecture and a few other related primes counting problems are valid. A rigorous version of the spectral method, and a proof of the more general dePolignac conjecture on the existence of infinitely many primes pairs p and p + 2k, k => 1, is proposed in this note.

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