High moments of the Riemann zeta-function

@article{Conrey1999HighMO,
  title={High moments of the Riemann zeta-function},
  author={J. Brian Conrey and Steven M. Gonek},
  journal={Duke Mathematical Journal},
  year={1999},
  volume={107},
  pages={577-604}
}
The authors describe a general approach which, in principal, should produce the correct (conjectural) formula for every even integer moment of the Riemann zeta function. They carry it out for the sixth and eigth powers; in the case of sixth powers this leads to the formula conjectured by Conrey and Ghosh, and in the case of eighth powers is new. 
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TLDR
This work examines the calculation of the second and fourth moments and shifted moments of the Riemann zeta-function on the critical line using long Dirichlet polynomials and divisor correlations and identifies terms that are missed in the standard application of these methods.
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