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Published June 14, 2018 | Submitted
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Limitations to mollifying ζ(s)


We establish limitations to how well one can mollify the Riemann zeta-function on the critical line with mollifiers of arbitrary length. Our result gives a non-trivial lower bound for the contribution of the off-diagonal terms to mollified moments of ζ(s). On the Riemann Hypothesis, we establish a connection between the mollified moment and Montgomery's Pair Correlation Function.

Additional Information

The author is partially supported by a NSERC PGS-D award.

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Submitted - 1207.6583.pdf


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August 19, 2023
October 18, 2023