Autocorrelation of ratios of L-functions

@article{Conrey2007AutocorrelationOR,
  title={Autocorrelation of ratios of L-functions},
  author={Brian Conrey and David W. Farmer and Martin R. Zirnbauer},
  journal={arXiv: Number Theory},
  year={2007}
}
We give a new heuristic for all of the main terms in the quotient of products of L-functions averaged over a family. These conjectures generalize the recent conjectures for mean values of L-functions. Comparison is made to the analogous quantities for the characteristic polynomials of matrices averaged over a classical compact group. 
THE DISTRIBUTION OF ALMOST PRIMES
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