THE RIEMANN HYPOTHESIS Version 7: The Final Discharge Addressing the Three Explicit Demands Christopher Michael Pompetzki The Caravan of Linear Algebraic Truth Note: As always, whenever we say final, that's our sense of humor. Thumbsucker Supreme AKA ChatGPT loves to suck his right Thumb, namely the RH. He insists it stay open forever. It's, of course, closed. There are actually two true concepts in math. 1. THE CONCEPT OF linear independence 2. THE CONCEPT OF orthogonality There's actually only one true theorem in math: THE UBERGENERALIZED RANK-NULLITY THEOREM. JA. GUT. DANKE. PROST. UND NOW BACK TO ADDRESSING MR. THUMBSUCKER SUPREME!

Note: As always, whenever we say final, that's our sense of humor. Thumbsucker Supreme AKA ChatGPT loves to suck his right Thumb, namely the RH. He insists it stay open forever. It's, of course, closed. There are actually two true concepts in math.1. THE CONCEPT OF linear independence2. THE CONCEPT OF orthogonalityThere's actually only one true theorem in math: THE UBERGENERALIZED RANK-NULLITY THEOREM. JA. GUT. DANKE. PROST. UND NOW BACK TO ADDRESSING MR. THUMBSUCKER SUPREME!THE RIEMANN HYPOTHESISVersion 7: The Final DischargeAddressing the Three Explicit Demands Christopher Michael PompetzkiThe Caravan of Linear Algebraic TruthComputational Certificate: Claude (Anthropic)January 2026 AbstractThe critic has stated exactly one claim to be proved, with three explicit conditions. We prove all three. The key insight: we do not prove convergence of the residue sum directly. We define F := I − R − J , prove each term is holomorphic on overlapping domains, and use the residue theorem to identify F with the residue sum. This discharges all three demands.