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  • KRZ01_2016_10_27

    Rights statement: This is the author’s version of a work that was accepted for publication in Journal of Number Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Number Theory, 174, 2017 DOI: 10.1016/j.int.2016.09.022

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On a mollifier of the perturbed Riemann zeta-function

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On a mollifier of the perturbed Riemann zeta-function. / Kühn, Patrick; Robles, Nicolas; Zeindler, Dirk.

In: Journal of Number Theory, Vol. 174, 05.2017, p. 274-321.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Kühn, P, Robles, N & Zeindler, D 2017, 'On a mollifier of the perturbed Riemann zeta-function', Journal of Number Theory, vol. 174, pp. 274-321. https://doi.org/10.1016/j.jnt.2016.09.022

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Kühn, Patrick ; Robles, Nicolas ; Zeindler, Dirk. / On a mollifier of the perturbed Riemann zeta-function. In: Journal of Number Theory. 2017 ; Vol. 174. pp. 274-321.

Bibtex

@article{c8c18d71027c48bd8d2ab80148508ebe,
title = "On a mollifier of the perturbed Riemann zeta-function",
abstract = "The mollification ζ(s)+ζ′(s) put forward by Feng is computed by analytic methods coming from the techniques of the ratios conjectures of L-functions. The current situation regarding the percentage of non-trivial zeros of the Riemann zeta-function on the critical line is then clarified. ",
keywords = "Riemann zeta-function, Mollifier, Zeros on the critical line, Ratios conjecture technique, Generalized von Mangoldt function",
author = "Patrick K{\"u}hn and Nicolas Robles and Dirk Zeindler",
note = "This is the author{\textquoteright}s version of a work that was accepted for publication in Journal of Number Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Number Theory, 174, 2017 DOI: 10.1016/j.int.2016.09.022",
year = "2017",
month = may,
doi = "10.1016/j.jnt.2016.09.022",
language = "English",
volume = "174",
pages = "274--321",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On a mollifier of the perturbed Riemann zeta-function

AU - Kühn, Patrick

AU - Robles, Nicolas

AU - Zeindler, Dirk

N1 - This is the author’s version of a work that was accepted for publication in Journal of Number Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Number Theory, 174, 2017 DOI: 10.1016/j.int.2016.09.022

PY - 2017/5

Y1 - 2017/5

N2 - The mollification ζ(s)+ζ′(s) put forward by Feng is computed by analytic methods coming from the techniques of the ratios conjectures of L-functions. The current situation regarding the percentage of non-trivial zeros of the Riemann zeta-function on the critical line is then clarified.

AB - The mollification ζ(s)+ζ′(s) put forward by Feng is computed by analytic methods coming from the techniques of the ratios conjectures of L-functions. The current situation regarding the percentage of non-trivial zeros of the Riemann zeta-function on the critical line is then clarified.

KW - Riemann zeta-function

KW - Mollifier

KW - Zeros on the critical line

KW - Ratios conjecture technique

KW - Generalized von Mangoldt function

U2 - 10.1016/j.jnt.2016.09.022

DO - 10.1016/j.jnt.2016.09.022

M3 - Journal article

VL - 174

SP - 274

EP - 321

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -