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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

    Accepted author manuscript, 485 KB, PDF document

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

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On a mollifier of the perturbed Riemann zeta-function

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<mark>Journal publication date</mark>05/2017
<mark>Journal</mark>Journal of Number Theory
Volume174
Number of pages48
Pages (from-to)274-321
Publication StatusPublished
Early online date9/11/16
<mark>Original language</mark>English

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.

Bibliographic note

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