A note on the fourth moment of Dirichlet L-functions

H. M. Bui; D. R. Heath-Brown

doi:10.4064/aa141-4-3

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arXiv · 0903.4008

A note on the fourth moment of Dirichlet L-functions

H. M. Bui·D. R. Heath-Brown

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Abstract

We prove an asymptotic formula for the fourth power mean of Dirichlet L-functions averaged over primitive characters to modulus q and over t\in [0,T] which is particularly effective when q \ge T. In this range the correct order of magnitude was not previously known.

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H. M. Bui, D. R. Heath-Brown. 2009-03-24. A note on the fourth moment of Dirichlet L-functions. https://doi.org/10.4064/aa141-4-3

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