𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Polygamma theory, the Li/Keiper constants and the Li criterion for the Riemann hypothesis

✍ Scribed by Coffey, Mark W.

Book ID
121866044
Publisher
Rocky Mountain Mathematics Consortium
Year
2010
Tongue
English
Weight
337 KB
Volume
40
Category
Article
ISSN
0035-7596

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Complements to Li's Criterion for the Ri
Complements to Li's Criterion for the Riemann Hypothesis
✍ 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

The Positivity of a Sequence of Numbers
The Positivity of a Sequence of Numbers and the Riemann Hypothesis
✍ 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.