On a mollifier of the perturbed Riemann zeta-function

Kühn, Patrick and Robles, Nicolas and Zeindler, Dirk (2017) On a mollifier of the perturbed Riemann zeta-function. Journal of Number Theory, 174. pp. 274-321. ISSN 0022-314X

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Number Theory
Additional Information:
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
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
?? riemann zeta-functionmollifierzeros on the critical lineratios conjecture techniquegeneralized von mangoldt functionalgebra and number theory ??
ID Code:
79435
Deposited By:
Deposited On:
10 May 2016 14:24
Refereed?:
Yes
Published?:
Published
Last Modified:
31 Dec 2023 00:41