Moments of zeta and correlations of divisor-sums: V

Author: 

Conrey, B
Keating, J

Publication Date: 

1 April 2019

Journal: 

Proceedings of the London Mathematical Society

Last Updated: 

2020-11-03T16:14:55.643+00:00

Issue: 

4

Volume: 

118

DOI: 

10.1112/plms.12196

page: 

729-752

abstract: 

© 2018 London Mathematical Society 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 coefficients.

Symplectic id: 

1049624

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article