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Publication - Professor Jon Keating

    Moments of zeta and correlations of divisor-sums

    V

    Citation

    Conrey, B & Keating, J, 2019, ‘Moments of zeta and correlations of divisor-sums: V’. Proceedings of the London Mathematical Society, vol 118., pp. 729-752

    Abstract

    In this series of papers we examine the calculation of the 2kth moment and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations. The present paper completes the general study of what we call Type II sums which utilize a circle method framework and a convolution of shifted convolution sums to obtain all of the lower order terms in the asymptotic formula for the mean square along [T; 2T] of a Dirichlet polynomial of arbitrary length with divisor functions as coeffcients.

    Full details in the University publications repository