Projects per year
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.
| Original language | English |
|---|---|
| Pages (from-to) | 729-752 |
| Number of pages | 24 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | 118 |
| Issue number | 4 |
| Early online date | 16 Sept 2018 |
| DOIs | |
| Publication status | Published - 1 Apr 2019 |
Keywords
- 11M06 (primary)
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Dive into the research topics of 'Moments of zeta and correlations of divisor-sums: V'. Together they form a unique fingerprint.Projects
- 2 Finished
-
LogCorRM: Log Correlations and Random Matrices
French, P. E. (Principal Investigator)
1/09/17 → 31/08/22
Project: Research
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L-functions and modular forms
Keating, J. P. (Co-Principal Investigator) & Booker, A. R. (Principal Investigator)
1/06/13 → 30/09/19
Project: Research
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