On the third moment of L (1 2, χd) II: The number field case

Adrian Diaconu; Ian Whitehead

doi:10.4171/jems/1049

On the third moment of L (1 2, χd) II: The number field case

Adrian Diaconu
, Ian Whitehead

School of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x3=4.

Original language	English (US)
Pages (from-to)	2051-2070
Number of pages	20
Journal	Journal of the European Mathematical Society
Volume	23
Issue number	6
DOIs	https://doi.org/10.4171/jems/1049
State	Published - Feb 24 2021

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Publisher Copyright:
© 2021 European Mathematical Society.

Keywords

Cubic moment
Quadratic Dirichlet L-functions
Smoothed asymptotic formula
Weyl group multiple Dirichlet series

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10.4171/jems/1049License: CC BY

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title = "On the third moment of L (1 2, χd) II: The number field case",

abstract = "We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x3=4.",

keywords = "Cubic moment, Quadratic Dirichlet L-functions, Smoothed asymptotic formula, Weyl group multiple Dirichlet series",

author = "Adrian Diaconu and Ian Whitehead",

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T1 - On the third moment of L (1 2, χd) II

T2 - The number field case

AU - Diaconu, Adrian

AU - Whitehead, Ian

PY - 2021/2/24

Y1 - 2021/2/24

N2 - We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x3=4.

AB - We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x3=4.

KW - Cubic moment

KW - Quadratic Dirichlet L-functions

KW - Smoothed asymptotic formula

KW - Weyl group multiple Dirichlet series

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UR - https://www.scopus.com/pages/publications/85105319922#tab=citedBy

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JF - Journal of the European Mathematical Society

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On the third moment of L (1 2, χd) II: The number field case

Abstract

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