Critical zeros of Dirichlet L-functions

J. Brian Conrey; Henryk Iwaniec; Kannan Soundararajan

doi:10.1515/crelle-2012-0032

Critical zeros of Dirichlet L-functions

J. Brian Conrey, Henryk Iwaniec, Kannan Soundararajan

School of Arts and Sciences, Mathematics

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

11 Scopus citations

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 L-function of degree 1, 2, or 3.

Original language	English (US)
Pages (from-to)	175-198
Number of pages	24
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	681
DOIs	https://doi.org/10.1515/crelle-2012-0032
State	Published - Aug 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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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 L-function of degree 1, 2, or 3.",

author = "Conrey, {J. Brian} and Henryk Iwaniec and Kannan Soundararajan",

note = "Funding Information: Acknowledgement. These works were begun at AIM in 1998 and continued over the years at AIM, Rutgers, IAS, Stanford, Bristol, and MSRI. We gratefully acknowledge the support of all of these institutions. This work was also supported in part by grants from the National Science Foundation.",

year = "2013",

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doi = "10.1515/crelle-2012-0032",

language = "English (US)",

pages = "175--198",

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AU - Iwaniec, Henryk

AU - Soundararajan, Kannan

N1 - Funding Information: Acknowledgement. These works were begun at AIM in 1998 and continued over the years at AIM, Rutgers, IAS, Stanford, Bristol, and MSRI. We gratefully acknowledge the support of all of these institutions. This work was also supported in part by grants from the National Science Foundation.

PY - 2013/8

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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 L-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 L-function of degree 1, 2, or 3.

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Critical zeros of Dirichlet L-functions

Abstract

All Science Journal Classification (ASJC) codes

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