← Prime Number Studies
Two Paths Through the Prime Edge
Why the derivative jump is rank one in one truncation of the Weil form and not in another
Mohamed Osman · ORCID 0009-0004-5912-999X · independent researcher · 2026-07-28
Download the PDF ·
source on GitHub ·
concept DOI
Abstract. A short note measuring the prime-edge derivative jump of the truncated Weil form in a Dirichlet sine construction, compared with the matrix-valued von Mangoldt measure of Groskin (2026) where the jump is rank one. The two differ in where the edge vanishing lives, so they are distinct families rather than the same object in different coordinates. Carries a closed form for the measured plateau, verified to seven digits.
Every number printed in this note is regenerated by a script in code/ of the repository.
Licence: CC BY 4.0 (text), MIT (code).