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International Mathematics Research Notices (2000) 2000:133-146, doi:10.1155/S107379280000009X
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

On large values estimates for Dirichlet polynomials and the density hypothesis for the Riemann zeta function

Jean Bourgain

This paper provides some further ideas to estimate Dirichlet sums, starting from Jutila's work [Ju], which also contains the main analytical ingredients. Our approach permits us to widen the validity range for the density hypothesis for the Riemann-zeta function from 11/14 to 25/32.


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