TEBAC BSD-II Module Split Preprints: Heat/Zeta/Determinant, Parity/Reference Factor, Comparison/Import-Readiness, and Referee Guide

Tosho Lazarov Karadzhov · Zenodo (CERN European Organization for Nuclear Research) · 2026

This Zenodo record bundles four referee-facing companion preprints extracted from the BSD-II module of the TEBAC Birch–Swinnerton–Dyer program. The split is editorial and theorem-burden driven: its purpose is to improve readability, reduce proof-burden inflation inside a very large manuscript, and make the exact logical role of each layer easier to inspect. The record contains the following four files. BSD-IIA isolates the centered heat-trace, Mellin–zeta regularization, and canonical centered determinant layer. Its role is to present the theta/zeta/determinant spine in standalone form together with the exact reduced open core on the determinant side. BSD-IIB isolates the parity-routing and normalized reference-factor layer. Its role is to make explicit why the odd root-number case cannot be handled inside the even variable $(s-1)^2$ alone, and why the missing central factor must pass through an explicit normalized reference factor and completed determinant package. BSD-IIC isolates the comparison quotient, no-spurious-center control, and BSD-III import-readiness layer. Its role is to record the comparison-side architecture, central compatibility burden, and the precise import target required for the analytic-rank module BSD-III. The fourth file, Referee Guide to the Split BSD-II Module, is a companion referee dossier. It is not a fourth theorem-bearing mathematical module. Its purpose is to provide a reader contract, split theorem map, status matrix, exact remaining burdens, recommended reading routes, and publication-status clarification for the BSD-II split package. These four files should be read together as a split referee-facing presentation of BSD-II, not as four independent full proofs of the overall BSD-II module. The present upload is status-explicit: it separates proved infrastructure, reduction results, and remaining theorem-level existence burdens in a transparent and non-circular way. This record is supplementary to the larger BSD-II manuscript and to the broader TEBAC BSD program architecture. Related main publication DOI: 10.5281/zenodo.19058459.

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