Critical zeros of lacunary L-functions

J B Conrey; H Iwaniec

doi:10.4064/aa180813-11-11

Critical zeros of lacunary L-functions

J B Conrey, H Iwaniec

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Abstract

Assuming the existence of infinitely many exceptional discriminants of quadratic fields, it is shown that the Riemann zeta-function has asymptotically 100% of its zeros on selected segments of the critical line.

Original language	English
Pages (from-to)	217-268
Journal	Acta Arithmetica
Volume	195
Issue number	3
DOIs	https://doi.org/10.4064/aa180813-11-11
Publication status	E-pub ahead of print - 18 May 2020

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Instytut Matematyczny at https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/acta-arithmetica/all/195/3/113634/critical-zeros-of-lacunary-l-functions . Please refer to any applicable terms of use of the publisher.
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title = "Critical zeros of lacunary L-functions",

abstract = "Assuming the existence of infinitely many exceptional discriminants of quadratic fields, it is shown that the Riemann zeta-function has asymptotically 100% of its zeros on selected segments of the critical line.",

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

year = "2020",

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T1 - Critical zeros of lacunary L-functions

AU - Conrey, J B

AU - Iwaniec, H

PY - 2020/5/18

Y1 - 2020/5/18

N2 - Assuming the existence of infinitely many exceptional discriminants of quadratic fields, it is shown that the Riemann zeta-function has asymptotically 100% of its zeros on selected segments of the critical line.

AB - Assuming the existence of infinitely many exceptional discriminants of quadratic fields, it is shown that the Riemann zeta-function has asymptotically 100% of its zeros on selected segments of the critical line.

UR - https://arxiv.org/abs/1607.03288

U2 - 10.4064/aa180813-11-11

DO - 10.4064/aa180813-11-11

M3 - Article (Academic Journal)

SN - 0065-1036

VL - 195

SP - 217

EP - 268

JO - Acta Arithmetica

JF - Acta Arithmetica

IS - 3

ER -

Critical zeros of lacunary L-functions

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