Some possible approaches to the Riemann Hypothesis via the Li/Keiper constants

Abstract

In this paper we consider some possible approaches to the proof of the Riemann Hypothesis using the Li criterion.

References in corpus (7)

• Toward verification of the Riemann hypothesis: Application of the Li criterion
• Some series and integrals involving the Riemann zeta function, binomial coefficients and the harmonic numbers. Volume I
• Effective method of computing Li's coefficients and their properties
• Various applications of the (exponential) complete Bell polynomials
• An Explicit Formula Relating Stieltjes Constants and Li's Numbers
• A recurrence relation for the Li/Keiper constants in terms of the Stieltjes constants
• A Li-type criterion for zero-free half-planes of Riemann's zeta function

Cited by in corpus (3)

• Some integrals involving the Stieltjes constants:Part II
• Closed-form formula of Riemann zeta function and eta function for all non-zero given complex numbers via sums of powers of complex functions to disprove Riemann Hypothesis
• A note on some constants related to the zeta-function and their relationship with the Gregory coefficients