# A Ramanujan enigma involving the first Stieltjes constant

## 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.

## Key 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.

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Source: https://tomesphere.com/paper/1901.03382