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An Unconditional BGST$\to$R$_2$ Fourier Transfer via Poisson-Kernel Deconvolution

Year: 2026
Type: article
Abstract: Baluyot, Goldston, Suriajaya, and Turnage-Butterbaugh [BGST23] proved the first unconditional asymptotic for Montgomery's pair-correlation function F(\alpha, T), with error O(1/\sqrt{\log T}) uniformly for \alpha \in [0,1]. Key results: 6 theorems/propositions. Maturity: Short Draft. Target venue: Proceedings of the American Mathematical Society. Includes formal verification (Lean 4 / Platonic kernel). Part of The Latent research program. Related papers in this program: Nt Shifted Divisor Epsilon.
Author: Nagy, Tamás
Language: English
Open Access status: green
OpenAlex ID: W7155044945
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