Mean values of L-functions and symmetry
@article{Conrey1999MeanVO, title={Mean values of L-functions and symmetry}, author={J. Brian Conrey and David W. Farmer}, journal={International Mathematics Research Notices}, year={1999}, volume={2000}, pages={883-908} }
Recently Katz and Sarnak introduced the idea of a symmetry group attached to a family of L-functions, and they gave strong evidence that the symmetry group governs many properties of the distribution of zeros of the L-functions. We consider the mean-values of the L-functions and the mollified mean-square of the L-functions and find evidence that these are also governed by the symmetry group. We use recent work of Keating and Snaith to give a complete description of these mean values. We find a…
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