PreprintCC BYZenodo (CERN European Organization for Nuclear Research)
A Pointwise Critical-Face Transfer for Circulant Determinants of Order 4p
Abstract
For every odd prime p and every positive integer m coprime to 2p, thispreprint proves that 32m in the order-4p integer circulant-determinant spectrumimplies p^2m in that spectrum, with equivalence when p is congruent to 3modulo 4; the signed form is equivalent by sign symmetry. It also gives anexact reduction to two finite conductor/ray packet faces, constructs everynoncritical valuation region, and determines the uniform pure 2-primary andp-primary axes. The deposit includes LaTeX source, an independentverification protocol, and deterministic exact-arithmetic certificates.
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BibTeX
@misc{radolovic2026pointwise,
title = {{A Pointwise Critical-Face Transfer for Circulant Determinants of Order 4p}},
author = {Alen Radolović},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = aug,
doi = {10.5281/zenodo.21845701},
url = {https://doi.org/10.5281/zenodo.21845701},
note = {CC BY},
}
RIS
TY - UNPB
TI - A Pointwise Critical-Face Transfer for Circulant Determinants of Order 4p
AU - Alen Radolović
PY - 2026
DA - 2026/08/08
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.21845701
UR - https://doi.org/10.5281/zenodo.21845701
AB - For every odd prime p and every positive integer m coprime to 2p, thispreprint proves that 32m in the order-4p integer circulant-determinant spectrumimplies p^2m in that spectrum, with equivalence when p is congruent to 3modulo 4; the signed form is equivalent by sign symmetry. It also gives anexact reduction to two finite conductor/ray packet faces, constructs everynoncritical valuation region, and determines the uniform pure 2-primary andp-primary axes. The deposit includes LaTeX source, an independentverification protocol, and deterministic exact-arithmetic certificates.
ER -