𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Toward Verification of the Riemann Hypothesis: Application of the Li Criterion

✍ Scribed by Mark W. Coffey


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
482 KB
Volume
8
Category
Article
ISSN
1385-0172

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Complements to Li's Criterion for the Ri
✍ Enrico Bombieri; Jeffrey C. Lagarias πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 131 KB

In a recent paper Xian-Jin Li showed that the Riemann Hypothesis holds if and only if \* n = \ [1&(1&1Γ‚\) n ] has \* n >0 for n=1, 2, 3, ... where \ runs over the complex zeros of the Riemann zeta function. We show that Li's criterion follows as a consequence of a general set of inequalities for an

Equivalents of the Riemann hypothesis
✍ Hidehiko Mishou; Hirofumi Nagoshi πŸ“‚ Article πŸ“… 2006 πŸ› Springer 🌐 English βš– 78 KB
The Positivity of a Sequence of Numbers
✍ Xian-Jin Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 756 KB

In this note, we prove that the Riemann hypothesis for the Dedekind zeta function is equivalent to the nonnegativity of a sequence of real numbers.