Tosho Lazarov Karadzhov

Source-Faithful Finite-Core Reductions for a Hilbert–Pólya Positivity Criterion

This research preprint develops source-faithful finite-core reductions within a Hilbert--P\'olya and Weil-positivity program for the Riemann hypothesis. The central objective is to identify and estimate the precise signed arithmetic balance whose nonnegative definiteness would yi...

Source-Faithful Finite-Core Reductions for a Hilbert–Pólya Positivity Criterion

This research preprint develops source-faithful finite-core reductions within a Hilbert--P\'olya and Weil-positivity program for the Riemann hypothesis. The central objective is to identify and estimate the precise signed arithmetic balance whose nonnegative definiteness would yi...

Arithmetic Renormalization Dynamics for the Syracuse Map: Exact Valuation Cylinders, 3-Adic Transport, and Max-Plus Packet Certificates

This Version 4.0 presents a major extension of an arithmetic-renormalization and operator framework for the accelerated Syracuse map. The manuscript keeps three logically distinct levels of the Collatz problem separate: exact finite arithmetic, averaged transport, and worst-branc...

Arithmetic Renormalization Dynamics for the Syracuse Map: Exact Valuation Cylinders, 3-Adic Transport, and Max-Plus Packet Certificates

This preprint develops an arithmetic-renormalization and operator framework for the accelerated Syracuse map. It separates three logically distinct levels of the Collatz problem: exact finite arithmetic, averaged transport, and worst-branch deterministic obstruction. A finite val...

Arithmetic Renormalization Dynamics for the Syracuse Map: Exact Valuation Cylinders, 3-Adic Transport, and Max-Plus Packet Certificates

This Version 2.0 develops an arithmetic-renormalization and operator framework for the accelerated Syracuse map while keeping three logically distinct levels of the Collatz problem separate: exact finite arithmetic, averaged transport, and worst-branch deterministic obstruction....