Moments of L-functions — Moments of the Riemann zeta function — Problem 3

Definitions and mathematical statement

The supplied local registry record, permanent UnsolvedMath ID $800154$, identifies Problem 3 in the section on moments of the Riemann zeta function of the problem list attributed to Hamieh, Kadiri, and Ng (2024). However, its statement field contains only the following report:

We have also been informed a graduate student has worked extensively on this problem and nearly has a result.

The phrase "this problem" has no mathematical referent specified in the supplied record. No moment expression, parameters, domains, hypotheses, limiting regime, or requested conclusion is supplied. Consequently, a precise mathematical problem cannot be reconstructed from this record. The reported progress of an unnamed graduate student does not specify a mathematical result. The registry labels the record as open; this is a supplied status label, not an independently verified mathematical assessment.

Short English statement

The record identifies a problem about moments of the Riemann zeta function, but supplies only an attributed report of an unnamed graduate student's progress. The actual mathematical question is missing, so a precise statement requires recovery and human review of the referenced Problem 3.

Sources

• Local UnsolvedMath registry: supplied complete source record for permanent ID $800154$, exact source code catalogue entry, in the AMR Open Problem Lists collection. Upstream ID: $800154$; upstream revision: d371ee917ac9647fbb06cd6fc529deec6f3dda82.
• Hamieh, Kadiri, Ng, Moments of L-functions Problem List (2024), Problem 3, identified by the registry title as belonging to the section on moments of the Riemann zeta function. Supplied source URL: https://arxiv.org/abs/2405.17800. The registry attributes the problem to these authors and gives proposed year 2024.
• Supplied provenance records access on 2026-10-16 and extraction by arxiv_latex. This access date and extraction description are supplied provenance, not evidence of independent source consultation for this draft.