The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

Brian Conrey; Henryk Iwaniec; Kannan Soundararajan

doi:10.7169/facm/1767

The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

Brian Conrey, Henryk Iwaniec, Kannan Soundararajan

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.

Original language	English
Pages (from-to)	147-177
Journal	Functiones et Approximatio, Commentarii Mathematici
Volume	61
Issue number	2
DOIs	https://doi.org/10.7169/facm/1767
Publication status	E-pub ahead of print - 26 Oct 2019

Keywords

Dirichlet L-functions
asymptotic large sieve
moments

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title = "The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial",

abstract = "We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.",

keywords = "Dirichlet L-functions, asymptotic large sieve, moments",

author = "Brian Conrey and Henryk Iwaniec and Kannan Soundararajan",

year = "2019",

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doi = "10.7169/facm/1767",

language = "English",

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TY - JOUR

T1 - The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

AU - Conrey, Brian

AU - Iwaniec, Henryk

AU - Soundararajan, Kannan

PY - 2019/10/26

Y1 - 2019/10/26

N2 - We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.

AB - We establish an analogue of a conjecture of Balasubramanian, Conrey, and Heath-Brown for the family of all Dirichlet characters with conductor up to Q. This forms another application of our work in developing an asymptotic large sieve.

KW - Dirichlet L-functions

KW - asymptotic large sieve

KW - moments

UR - https://arxiv.org/abs/1808.02879

U2 - 10.7169/facm/1767

DO - 10.7169/facm/1767

M3 - Article (Academic Journal)

VL - 61

SP - 147

EP - 177

JO - Functiones et Approximatio, Commentarii Mathematici

JF - Functiones et Approximatio, Commentarii Mathematici

SN - 0208-6573

IS - 2

ER -

The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial

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