Exceptional zeros and the Goldbach problem

J. B. Friedlander; D. A. Goldston; H. Iwaniec; A. I. Suriajaya

doi:10.1016/j.jnt.2021.06.004

Exceptional zeros and the Goldbach problem

J. B. Friedlander, D. A. Goldston, H. Iwaniec, A. I. Suriajaya

Division of Algebra and Geometry

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

Abstract

We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of exceptional zeros of Dirichlet L-functions.

Original language	English
Pages (from-to)	78-86
Number of pages	9
Journal	Journal of Number Theory
Volume	233
DOIs	https://doi.org/10.1016/j.jnt.2021.06.004
Publication status	Published - Apr 2022

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jnt.2021.06.004

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title = "Exceptional zeros and the Goldbach problem",

abstract = "We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of exceptional zeros of Dirichlet L-functions.",

author = "Friedlander, {J. B.} and Goldston, {D. A.} and H. Iwaniec and Suriajaya, {A. I.}",

note = "Funding Information: Supported in part by NSERC grant A5123.Supported in part by JSPS KAKENHI Grant 18K13400. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

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doi = "10.1016/j.jnt.2021.06.004",

language = "English",

volume = "233",

pages = "78--86",

journal = "Journal of Number Theory",

issn = "0022-314X",

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AU - Friedlander, J. B.

AU - Goldston, D. A.

AU - Iwaniec, H.

AU - Suriajaya, A. I.

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Y1 - 2022/4

N2 - We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of exceptional zeros of Dirichlet L-functions.

AB - We show that the assumption of a weak form of the Hardy-Littlewood conjecture on the Goldbach problem suffices to disprove the possible existence of exceptional zeros of Dirichlet L-functions.

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DO - 10.1016/j.jnt.2021.06.004

M3 - Article

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VL - 233

SP - 78

EP - 86

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Exceptional zeros and the Goldbach problem

Abstract

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