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The average size of gaps between primes
Published online by Cambridge University Press: 26 February 2010
Extract
Erdoső has asked whether there exists a positive constant c < 1 such that
where pn is the n-th prime. In 1943 Selberg «3» proved, on the assumption of the Riemann Hypothesis, that
uniformly for H > 0. By an elementary extension of Selberg's method we prove the following two results free of any unproved assumptions.
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- Copyright © University College London 1974
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