REVIEW 1 cited by
Limitations to mollifying $\zeta(s)$
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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 \zeta(s). On the Riemann Hypothesis, we establish a connection between the mollified moment and Montgomery's Pair Correlation Function.
Forward citations
Cited by 1 Pith paper
-
The $\theta = \infty$ Conjecture and the Riemann Hypothesis for Automorphic $L$-functions
If the θ=∞ conjecture holds for automorphic L-functions, then they are non-vanishing in certain critical strip regions and families satisfy a quasi-Riemann Hypothesis.
Discussion (0). Continue with ORCID to comment.