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
Final published version
Other version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
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 -