A Ramanujan enigma involving the first Stieltjes constant
Donal F. Connon
TL;DR
This paper rigorously formulates a Ramanujan notebook entry and explores its connection to the first Stieltjes constant, revealing new insights into their mathematical relationship.
Contribution
It provides a rigorous formulation of Ramanujan's entry and establishes a novel link to the first Stieltjes constant, including a new proposition relating to existing analysis.
Findings
Established a rigorous formulation of Ramanujan's Entry 17(v)
Linked Ramanujan's entry to the first Stieltjes constant
Introduced a new proposition connecting to Candelpergher's analysis
Abstract
We provide a rigorous formulation of Entry 17(v) in Ramanujan's Notebooks and show how this relates to the first Stieltjes constant. A new proposition 4.5 is included to show the close relationship with some analysis presented by Candelpergher in 2017.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics