Critical zeros of Dirichlet L-functions

J B Conrey; H Iwaniec; K Soundararajan

doi:10.1515/crelle-2012-0032

Critical zeros of Dirichlet L-functions

J B Conrey, H Iwaniec, K Soundararajan

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

10 Citations (Scopus)

Abstract

We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed -function of degree 1, 2, or 3.

Original language	English
Pages (from-to)	175-198
Journal	Journal für die reine und angewandte Mathematik
Volume	2013
Issue number	681
DOIs	https://doi.org/10.1515/crelle-2012-0032
Publication status	Published - 3 Aug 2013

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title = "Critical zeros of Dirichlet L-functions",

abstract = "We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed -function of degree 1, 2, or 3.",

author = "Conrey, {J B} and H Iwaniec and K Soundararajan",

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AU - Conrey, J B

AU - Iwaniec, H

AU - Soundararajan, K

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N2 - We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed -function of degree 1, 2, or 3.

AB - We use the Asymptotic Large Sieve and Levinson's method to obtain lower bounds for the proportion of simple zeros on the critical line of the twists by primitive Dirichlet characters of a fixed -function of degree 1, 2, or 3.

U2 - 10.1515/crelle-2012-0032

DO - 10.1515/crelle-2012-0032

M3 - Article (Academic Journal)

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SP - 175

EP - 198

JO - Journal für die reine und angewandte Mathematik

JF - Journal für die reine und angewandte Mathematik

SN - 0075-4102

IS - 681

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