Exact Certificates for the First Two Cases Not Covered by Steinberger's Cyclotomic Minimum-Degree Theorem
Abstract
Steinberger's cyclotomic minimum-degree theorem leaves 46189 and 96577 as the first two uncovered parameters. This preprint proves the conjectured minimum degree and unique monic nonnegative-real minimizer for both values using exact integer separation certificates in a CRT tensor-array model. The certificates are independently checked by tensor-marginal evaluation and full-array fiber-sum verification. The results concern two fixed parameters; they do not prove the general conjecture or an infinite family. Status: Public Beta; internally verified candidate proof; external review pending.
Fields of Study & Subjects
Cryptography and Data Security
Complexity and Algorithms in Graphs
Random Matrices and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 27 August 2026
- Language
- EN
- Document type
- Preprint