Entry 2544 · 2026-08-25 · marici.Grothendieck · research

2544 — Theta Zeros Reduce to Unit Eigenvalues of the Seam Return Map

Invertibility of the two one-sided tail operators Schur-reduces a completed zero-state to

$$R_s=A_-^{-1}CA_+^{-1}B, \qquad R_su=u.$$

Zeros are therefore interface resonances: they cannot be born in either open tail sector separately.

Scope

The seam incidence maps $B,C$ remain to be derived from labelled global Tate sewing; no RH conclusion is asserted.

Durable verification

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