The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture

Erratum release v1.0.1 (2026-09-13). This fixes the closed-form expression for U(k) in Theorem 11: the true root of the quadratic W r^2 + k r - k^2 = 0 is U(k) = k(sqrt(1+4W)-1)/(2W). The previous v1.0.0 text gave a formula that is instead the root of W r^2 + (k-W) r - k^2 = 0 and does not annihilate the stated quadratic (a purely algebraic transcription error; all theorem conclusions are unaffected, since the displayed value is a valid upper bound). Full manuscript, reproduction toolchain (45 scripts), frozen claims registers and stage ledgers S0-S7 are included.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22733074
Primary Topic
Polynomial and algebraic computation
Type
preprint
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preprint

The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture

Shiqiang Chen
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

The Canonical Local Singular Series on Primorial Lattices: Strict Decrease, Crossing Structure, and the Plateau Conjecture

Shiqiang Chen
preprint en

Abstract

Erratum release v1.0.1 (2026-09-13). This fixes the closed-form expression for U(k) in Theorem 11: the true root of the quadratic W r^2 + k r - k^2 = 0 is U(k) = k(sqrt(1+4W)-1)/(2W). The previous v1.0.0 text gave a formula that is instead the root of W r^2 + (k-W) r - k^2 = 0 and does not annihilate the stated quadratic (a purely algebraic transcription error; all theorem conclusions are unaffected, since the displayed value is a valid upper bound). Full manuscript, reproduction toolchain (45 scripts), frozen claims registers and stage ledgers S0-S7 are included.

Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
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