The Ap\'ery Numbers as a Stieltjes Moment Sequence
G. A. Edgar
TL;DR
This paper proves that the Apéry numbers form a Stieltjes moment sequence, establishing a connection between these special numbers and moment problems in analysis.
Contribution
It provides a proof that the Apéry numbers are a Stieltjes moment sequence, linking number theory with moment sequence theory.
Findings
Apéry numbers are a Stieltjes moment sequence
Establishes a new connection between number theory and analysis
Provides a concise proof with an appendix for clarification
Abstract
The sequence of Ap\'ery numbers is the moment sequence in the sense of Stieltjes. This is the short version of the proof. Appendix added for v.2
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Mathematical Identities · Mathematics and Applications