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Lower bounds for moments of L-functions

Z. Rudnick·K. Soundararajan
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Abstract

The moments of central values of families of L-functions have recently attracted much attention and, with the work of Keating and Snaith, there are now precise conjectures for their limiting values. We develop a simple method to establish lower bounds of the conjectured order of magnitude for several such families of L-functions. As an example we work out the case of the family of all Dirichlet L-functions to a prime modulus.

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Z. Rudnick, K. Soundararajan. 2005-02-02. Lower bounds for moments of L-functions. https://doi.org/10.1073/pnas.0501723102

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