Tao Lin

Prime-Wall Sturmian Renormalization and Moving-Root Projective Criteria for Wall--Riesz Zero Tomography

We study the growing-height continuation problem for the Wall–Riesz observation model developed in the fixed-band predecessor. The arithmetic prime-wall geometry admits an unconditional reduction to a critical Sturmian two-channel Dirichlet-to-Neumann cocycle. A proof-carrying pr...

Structural Lemmas for the First-Prime Window of the Weil Quadratic Form

We establish a referee-auditable package of structural results for the local Weil quadratic form on the first-prime window $\frac{1}{2}\log 2 < L < \frac{1}{2}\log 3$, where only the $n=2$ prime shift is active. The paper proves an exact spectral decomposition of the truncated sh...

Structural Lemmas for the First-Prime Window of the Weil Quadratic Form

We prove six structural results for the local Weil quadratic form Q_W^L on L^2(-L,L) in the first-prime window (half*log2 < L < half*log3), the minimal interval where only the prime n=2 contributes to the Weil explicit formula. Our main technical contribution (Theorem 5.1) is an...

Structural Lemmas for the First-Prime Window of the Weil Quadratic Form

We prove six structural results for the local Weil quadratic form Q_W^L on L^2(-L,L) in the first-prime window (half*log2 < L < half*log3), the minimal interval where only the prime n=2 contributes to the Weil explicit formula. Our main technical contribution (Theorem 5.1) is an...