Generalization of Ramanujan Famous Nested Radicals to the nth Root and their Evaluation by Narendranath Mitra presents an extension of infinite nested radicals involving nth roots, inspired by the work of Srinivasa Ramanujan.

• In 1911, Ramanujan posed a problem on infinite nested radicals of the square root.
• The introduction of higher-order roots requires a general solution for their evaluation.
• This work provides a theorem to evaluate symmetric patterns of infinite nested radicals of any root order, including Ramanujan’s square root.
• This paper adds depth to the area of mathematics by offering generalized approaches to nested radicals.

Understanding these complex mathematical structures is crucial for various fields, and this research could potentially influence advancements in cryptography and theoretical computer science. Read more