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The third moment of quadratic Dirichlet L-functions

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Abstract

We study the third moment of quadratic Dirichlet \(L\)-functions, obtaining an error term of size \(O(X^{3/4 + \varepsilon })\).

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Acknowledgments

I thank Brian Conrey, David Farmer, Jeff Hoffstein, Mike Rubinstein, and K. Soundararajan for discussions. This material is based upon work supported by the National Science Foundation under agreement No. DMS-0758235. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

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  1. Department of Mathematics, Texas A&M University, College Station, TX, 77843-3368, USA

    Matthew P. Young

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  1. Matthew P. Young
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Correspondence to Matthew P. Young.

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Young, M.P. The third moment of quadratic Dirichlet L-functions. Sel. Math. New Ser. 19, 509–543 (2013). https://doi.org/10.1007/s00029-012-0104-4

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