# Integral Moments of L‐Functions

@article{Conrey2002IntegralMO, title={Integral Moments of L‐Functions}, author={J. Brian Conrey and David W. Farmer and Jonathan P. Keating and Michael O. Rubinstein and Nina C. Snaith}, journal={Proceedings of the London Mathematical Society}, year={2002}, volume={91} }

We give a new heuristic for all of the main terms in the integral moments of various families of primitive L‐functions. The results agree with previous conjectures for the leading order terms. Our conjectures also have an almost identical form to exact expressions for the corresponding moments of the characteristic polynomials of either unitary, orthogonal, or symplectic matrices, where the moments are defined by the appropriate group averages. This lends support to the idea that arithmetical L…

## 352 Citations

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