Simplifications of the Keiper/Li approach to the Riemann Hypothesis

André Voros (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

The Keiper/Li constants {λ_n } n=1,2,... are asymptotically (n → ∞) sensitive to the Riemann Hypothesis, but highly elusive analytically and difficult to compute numerically. We present quite explicit variant sequences that stay within the abstract Keiper–Li frame, and appear simpler to analyze and compute.

Keywords: Keiper--Li sequence; Li's criterion; Riemann Hypothesis; Riemann zeros; steepest-descent method; Dirichlet L-functions

Domains: Mathematics [math]

André Voros. Simplifications of the Keiper/Li approach to the Riemann Hypothesis: Simplifications de l'approche de Keiper--Li à l'Hypothèse de Riemann. 2016. ⟨cea-01274195⟩