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Moments of zeta and correlations of divisor-sums: IV

Research output: Contribution to journalArticle

Original languageEnglish
Article number24
Number of pages24
JournalResearch in Number Theory
Early online date21 Nov 2016
DateAccepted/In press - 29 Aug 2016
DateE-pub ahead of print - 21 Nov 2016
DatePublished (current) - Dec 2016


In this series 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 begins 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 length up to T3 with divisor functions as coefficients.

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