The Fourth Moment of Dirichlet L-Functions for the Rational Function Field

2012/07/20 by Tamam, Nattalie · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1207.4969

Abstract

We study the moments of the Dirichlet L-function when defined over the polynomial ring over finite fields. We find an asymptotic formula to the fourth moment of the central value of Dirichlet L functions in this context. We also find a lower bound to the 2kth moment of these L-functions.

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• Central limit theorems for random multiplicative functions over function fields

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