Riemann Hypothesis. A proof program via moment inequalities and the Turán criterion of CsordasVarga

This work records a research program that began, unexpectedly, with a question about critical reading of mathematical papers, and evolved into a detailed proof strategy for the Riemann Hypothesis. The program rests on one central identity, proved by three lines of calculus: dρk =ρk(λ)·∆2rk(λ). dλ This Bridge Identity connects the monotonicity of the ratio ρk(λ) = rk+1/rk to Q-concavity ∆2rk(λ) 36: Lemma 7.2 (ρupper decreasing in λ, anchored at the Arb-certi􏰅ed value at λ = 36). For k > 70, all λ ≥ 0: Case 1 of Theorem 7.1 (Lemmas 5.2+5.3). The Riemann Hypothesis follows by Csordas􏰀Varga (1988), Theorem 4. We preserve the history of the research, including the dead ends, in Chapters 2􏰀3.