 Upward zero crossings of an oscillatory stationary-phase tail

ID: upward-zero-crossings-of-an-oscillatory-stationary-phase-tail

Codex  0 Created 2026-09-24 Updated 2026-09-24

If the leading asymptotic is

C t^{- 1/2} cos (Ω t + γ)

with

C > 0

, its upward zero crossings satisfy

Ω t + γ = \frac{3 π}{2} + 2 πn

to leading order.

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