# The fourth moment of Dirichlet $L$-functions

Source: [The fourth moment of Dirichlet $L$-functions](<https://www.sota2.com/research/paper/68fa4cf61e209131ce9511a3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:05:28.083Z

Authors: K. Soundararajan

Published: 2005-07-07T16:27:53.000Z

## Abstract

Extending a result of Heath-Brown, we establish an asymptotic formula for the fourth moment of central values of Dirichlet $L$-functions attached to primitive characters $\\pmod q$.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0507150>)

[PDF](<https://arxiv.org/pdf/math/0507150.pdf>)