Recurrence relations of Li coefficients
Huan Xiao
TL;DR
This paper investigates recurrence relations of Li coefficients, which are linked to the Riemann hypothesis through Li's criterion, aiming to deepen understanding of their properties.
Contribution
It introduces and analyzes recurrence relations for Li coefficients, providing new insights into their structure related to the Riemann hypothesis.
Findings
Recurrence relations for Li coefficients are established.
These relations offer potential tools for studying the Riemann hypothesis.
The work advances understanding of Li coefficients' properties.
Abstract
One of equivalents of the Riemann hypothesis is Li's criterion that all Li coefficients are positive. We study recurrence relations of Li coefficients in this note.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Finite Group Theory Research