---
tag: QRJ8DM7FD7
kind: conjecture
name: Hilbert's 9th problem
sources:
  - wikipedia: en:183091@r1376385932
    locator: List of unsolved problems in mathematics, section Unsolved problems > Number theory > Algebraic number theory
    note: adopted
    mention: wikipedia://en/183091#1DQ2
    sections: [Statement]
inventory: [Y4DEBX0K57]
---

## Statement

- Hilbert's 9th problem: find the most general reciprocity law for the norm residues of $k$-th order in a general algebraic number field, where $k$ is a power of a prime.