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ON THE MONTGOMERY–HOOLEY THEOREM IN SHORT INTERVALS
Published online by Cambridge University Press: 12 May 2010
Abstract
We prove two results about the asymptotic formula for The first result is for x7/12+ε≤h≤x and h/(log x)B≤Q≤h, where ε,B>0 are arbitrary constants. For the second result we assume that the Generalized Riemann Hypothesis holds and we obtain a stronger error term and a better uniformity on h.
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- Research Article
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- Copyright © University College London 2010
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