2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70826Exact and asymptotic formulae are displayed for the coefficients $λ_n$ used in Li's criterion for the Riemann Hypothesis. In particular, we argue that if (and only if) the Hypothesis is true, $λ_n \sim n(A \log n +B)$ for $n \to \infty$ (with explicit $A>0$ and $B$). The approach also holds for more general zeta or $L$-functions.1 Latex file, 5 pages, submitted to C.R. Acad. Sci. (Paris) Sér. I. V2: notation corrected in eq.(7); eq.(9) made more preciseNumber TheoryComplex Variables11M26 (primary) 30B40; 41A60 (secondary)text