AN APPLICATION OF GENERALIZED MOLLIFIERS TO THE RIEMANN ZETA-FUNCTION
2018 Volume 72 Issue 1 Pages 35-69
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2018 Volume 72 Issue 1 Pages 35-69
In this paper, we establish the asymptotic formula for the second moment of the Riemann zeta-function twisted by a (Λ + 1)-piece mollifier which is a generalization of the two-piece mollifier considered by Bui, Conrey and Young [Acta. Arith. 150(1) (2011), 35-64]. As an application, we obtain a lower bound for the proportion of critical zeros of the Riemann zeta-function.
