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Licensed Unlicensed Requires Authentication Published by De Gruyter October 18, 2010

On large distances between neighbouring zeros of the Riemann zeta-function

  • R. N. Boyarinov

Abstract

A new estimate of the number of zeros ϱn = βn + n of the Riemann zeta-function with ordinates γn belonging to a given interval and for which the distance to the next zero is sufficiently large in comparison with the mean value 2π(ln(γn/(2π)))–1 is obtained.

Received: 2010-02-17
Published Online: 2010-10-18
Published in Print: 2010-October

© de Gruyter 2010

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