Exact Certificates for the First Two Cases Not Covered by Steinberger's Cyclotomic Minimum-Degree Theorem

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-27
DOI
https://doi.org/10.5281/zenodo.22124096
Citations
2
Primary Topic
Cryptography and Data Security
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Exact Certificates for the First Two Cases Not Covered by Steinberger's Cyclotomic Minimum-Degree Theorem

Carptopus
2 citations
Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Data Security
preprint

Exact Certificates for the First Two Cases Not Covered by Steinberger's Cyclotomic Minimum-Degree Theorem

Carptopus
preprint en
2 citations

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.

Zenodo (CERN European Organization for Nuclear Research)
Cryptography and Data Security
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Exact Certificates for the First Two Cases Not Covered by Steinberger's Cyclotomic Minimum-Degree Theorem — Carptopus · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS