Moments of L-functions — Moments of the Riemann zeta function — Problem 42

Definitions and mathematical statement

The supplied record asks:

Determine the dependence of the explicit constant on $k$ and $N$.

Here $k$ and $N$ are parameters whose meanings, domains, and permitted ranges are not specified in the supplied record. The explicit constant is also unidentified: no defining formula, estimate, asymptotic relation, or normalization is supplied. Consequently, neither the constant nor the required form of its dependence can be defined precisely from this record. The title places the question in the context of moments of the Riemann zeta function, but does not identify the relevant moment or result. A complete mathematical statement requires the missing context of Problem 42; no additional hypotheses or quantifiers are inferred here.

Short English statement

Determine how the explicit constant referenced in Problem 42 depends on $k$ and $N$. The supplied excerpt does not identify the constant or define these parameters, so the intended mathematical question remains incomplete.

Sources

• Local UnsolvedMath registry: permanent ID $800190$, source problem code catalogue entry, title "Moments of L-functions --- Moments of the Riemann zeta function --- Problem 42." The registry labels the problem open; this is supplied metadata, not an independently verified status assessment.
• Hamieh, Kadiri, Ng, Moments of L-functions Problem List (2024), Problem 42, https://arxiv.org/abs/2405.17800. The record attributes the problem to Hamieh, Kadiri, and Ng and gives proposed year 2024. Supplied provenance records access on 2026-10-16 and extraction method arxiv_latex; these provenance details have not been independently verified.
• Supplied upstream revision: d371ee917ac9647fbb06cd6fc529deec6f3dda82.